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1,056,528

1,056,528 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

1,056,528 (one million fifty-six thousand five hundred twenty-eight) is an even 7-digit number. It is a composite number with 120 divisors, and factors as 2⁴ × 3² × 11 × 23 × 29. Its proper divisors sum to 2,425,392, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x101F10.

Abundant Number Arithmetic Number Gapful Number Odious Number Pernicious Number Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
27
Digit product
0
Digital root
9
Palindrome
No
Bit width
21 bits
Reversed
8,256,501
Square (n²)
1,116,251,414,784
Cube (n³)
1,179,350,874,758,909,952
Divisor count
120
σ(n) — sum of divisors
3,481,920
φ(n) — Euler's totient
295,680
Sum of prime factors
77

Primality

Prime factorization: 2 4 × 3 2 × 11 × 23 × 29

Nearest primes: 1,056,521 (−7) · 1,056,541 (+13)

Divisors & multiples

All divisors (120)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 11 · 12 · 16 · 18 · 22 · 23 · 24 · 29 · 33 · 36 · 44 · 46 · 48 · 58 · 66 · 69 · 72 · 87 · 88 · 92 · 99 · 116 · 132 · 138 · 144 · 174 · 176 · 184 · 198 · 207 · 232 · 253 · 261 · 264 · 276 · 319 · 348 · 368 · 396 · 414 · 464 · 506 · 522 · 528 · 552 · 638 · 667 · 696 · 759 · 792 · 828 · 957 · 1012 · 1044 · 1104 · 1276 · 1334 · 1392 · 1518 · 1584 · 1656 · 1914 · 2001 · 2024 · 2088 · 2277 · 2552 · 2668 · 2871 · 3036 · 3312 · 3828 · 4002 · 4048 · 4176 · 4554 · 5104 · 5336 · 5742 · 6003 · 6072 · 7337 · 7656 · 8004 · 9108 · 10672 · 11484 · 12006 · 12144 · 14674 · 15312 · 16008 · 18216 · 22011 · 22968 · 24012 · 29348 · 32016 · 36432 · 44022 · 45936 · 48024 · 58696 · 66033 · 88044 · 96048 · 117392 · 132066 · 176088 · 264132 · 352176 · 528264 (half) · 1056528
Aliquot sum (sum of proper divisors): 2,425,392
Factor pairs (a × b = 1,056,528)
1 × 1056528
2 × 528264
3 × 352176
4 × 264132
6 × 176088
8 × 132066
9 × 117392
11 × 96048
12 × 88044
16 × 66033
18 × 58696
22 × 48024
23 × 45936
24 × 44022
29 × 36432
33 × 32016
36 × 29348
44 × 24012
46 × 22968
48 × 22011
58 × 18216
66 × 16008
69 × 15312
72 × 14674
87 × 12144
88 × 12006
92 × 11484
99 × 10672
116 × 9108
132 × 8004
138 × 7656
144 × 7337
174 × 6072
176 × 6003
184 × 5742
198 × 5336
207 × 5104
232 × 4554
253 × 4176
261 × 4048
264 × 4002
276 × 3828
319 × 3312
348 × 3036
368 × 2871
396 × 2668
414 × 2552
464 × 2277
506 × 2088
522 × 2024
528 × 2001
552 × 1914
638 × 1656
667 × 1584
696 × 1518
759 × 1392
792 × 1334
828 × 1276
957 × 1104
1012 × 1044
First multiples
1,056,528 · 2,113,056 (double) · 3,169,584 · 4,226,112 · 5,282,640 · 6,339,168 · 7,395,696 · 8,452,224 · 9,508,752 · 10,565,280

Sums & aliquot sequence

As consecutive integers: 352,175 + 352,176 + 352,177 117,388 + 117,389 + … + 117,396 96,043 + 96,044 + … + 96,053 45,925 + 45,926 + … + 45,947
Aliquot sequence: 1,056,528 → 2,425,392 → 4,362,740 → 4,799,056 → 4,499,146 → 2,316,698 → 1,309,510 → 1,186,586 → 593,296 → 661,088 → 662,920 → 828,740 → 1,070,332 → 867,548 → 788,764 → 636,324 → 963,036 — unresolved within range

Continued fraction of √n

√1,056,528 = [1027; (1, 7, 32, 1, 1, 41, 2, 4, 5, 1, 31, 1, 3, 1, 4, 228, 4, 1, 3, 1, 31, 1, 5, 4, …)]

Period length 32 — the block in parentheses repeats forever.

Representations

In words
one million fifty-six thousand five hundred twenty-eight
Ordinal
1056528th
Binary
100000001111100010000
Octal
4017420
Hexadecimal
0x101F10
Base64
EB8Q
One's complement
4,293,910,767 (32-bit)
Scientific notation
1.056528 × 10⁶
As a duration
1,056,528 s = 12 days, 5 hours, 28 minutes, 48 seconds
In other bases
ternary (3) 1222200021200
quaternary (4) 10001330100
quinary (5) 232302103
senary (6) 34351200
septenary (7) 11660154
nonary (9) 1880250
undecimal (11) 661870
duodecimal (12) 42b500
tridecimal (13) 2acb85
tetradecimal (14) 1d7064
pentadecimal (15) 15d0a3

As an angle

1,056,528° = 2,934 × 360° + 288°
288° ≈ 5.027 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百零五萬六千五百二十八
Chinese (financial)
壹佰零伍萬陸仟伍佰貳拾捌
In other modern scripts
Eastern Arabic ١٠٥٦٥٢٨ Devanagari १०५६५२८ Bengali ১০৫৬৫২৮ Tamil ௧௦௫௬௫௨௮ Thai ๑๐๕๖๕๒๘ Tibetan ༡༠༥༦༥༢༨ Khmer ១០៥៦៥២៨ Lao ໑໐໕໖໕໒໘ Burmese ၁၀၅၆၅၂၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1056528, here are decompositions:

  • 7 + 1056521 = 1056528
  • 19 + 1056509 = 1056528
  • 47 + 1056481 = 1056528
  • 59 + 1056469 = 1056528
  • 127 + 1056401 = 1056528
  • 149 + 1056379 = 1056528
  • 157 + 1056371 = 1056528
  • 167 + 1056361 = 1056528

Showing the first eight; more decompositions exist.

Hex color
#101F10
RGB(16, 31, 16)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.31.16.

Address
0.16.31.16
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.31.16

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 5, 6528 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 6528-05-01 (DMMYYYY (Euro, single-digit day))
  • 6528-10-05 (MMDYYYY (US, single-digit day))
  • 6528-05-10 (DDMYYYY (Euro, single-digit month))
Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 1,056,528 and was likely granted around 1912.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.