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1,056,032

1,056,032 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.).

1,056,032 (one million fifty-six thousand thirty-two) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 61 × 541. Its proper divisors sum to 1,061,020, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x101D20.

Abundant Number Evil Number Practical Number Self Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
21 bits
Reversed
2,306,501
Square (n²)
1,115,203,585,024
Cube (n³)
1,177,690,672,300,064,768
Divisor count
24
σ(n) — sum of divisors
2,117,052
φ(n) — Euler's totient
518,400
Sum of prime factors
612

Primality

Prime factorization: 2 5 × 61 × 541

Nearest primes: 1,056,019 (−13) · 1,056,047 (+15)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 8 · 16 · 32 · 61 · 122 · 244 · 488 · 541 · 976 · 1082 · 1952 · 2164 · 4328 · 8656 · 17312 · 33001 · 66002 · 132004 · 264008 · 528016 (half) · 1056032
Aliquot sum (sum of proper divisors): 1,061,020
Factor pairs (a × b = 1,056,032)
1 × 1056032
2 × 528016
4 × 264008
8 × 132004
16 × 66002
32 × 33001
61 × 17312
122 × 8656
244 × 4328
488 × 2164
541 × 1952
976 × 1082
First multiples
1,056,032 · 2,112,064 (double) · 3,168,096 · 4,224,128 · 5,280,160 · 6,336,192 · 7,392,224 · 8,448,256 · 9,504,288 · 10,560,320

Sums & aliquot sequence

As a sum of two squares: 356² + 964² = 524² + 884²
As consecutive integers: 17,282 + 17,283 + … + 17,342 16,469 + 16,470 + … + 16,532 1,682 + 1,683 + … + 2,222
Aliquot sequence: 1,056,032 → 1,061,020 → 1,167,164 → 875,380 → 1,229,324 → 958,876 → 751,196 → 640,852 → 490,124 → 412,876 → 314,396 → 246,556 → 193,436 → 154,492 → 136,764 → 223,596 → 341,696 — unresolved within range

Continued fraction of √n

√1,056,032 = [1027; (1, 1, 1, 2, 1, 3, 19, 1, 2, 5, 2, 14, 1, 1, 5, 11, 1, 49, 4, 1, 2, 1, 42, 1, …)]

Representations

In words
one million fifty-six thousand thirty-two
Ordinal
1056032nd
Binary
100000001110100100000
Octal
4016440
Hexadecimal
0x101D20
Base64
EB0g
One's complement
4,293,911,263 (32-bit)
Scientific notation
1.056032 × 10⁶
As a duration
1,056,032 s = 12 days, 5 hours, 20 minutes, 32 seconds
In other bases
ternary (3) 1222122121022
quaternary (4) 10001310200
quinary (5) 232243112
senary (6) 34345012
septenary (7) 11655545
nonary (9) 1878538
undecimal (11) 66145a
duodecimal (12) 42b168
tridecimal (13) 2ac893
tetradecimal (14) 1d6bcc
pentadecimal (15) 15cd72

As an angle

1,056,032° = 2,933 × 360° + 152°
152° ≈ 2.653 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓏺𓏺
Chinese
一百零五萬六千零三十二
Chinese (financial)
壹佰零伍萬陸仟零參拾貳
In other modern scripts
Eastern Arabic ١٠٥٦٠٣٢ Devanagari १०५६०३२ Bengali ১০৫৬০৩২ Tamil ௧௦௫௬௦௩௨ Thai ๑๐๕๖๐๓๒ Tibetan ༡༠༥༦༠༣༢ Khmer ១០៥៦០៣២ Lao ໑໐໕໖໐໓໒ Burmese ၁၀၅၆၀၃၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1056032, here are decompositions:

  • 13 + 1056019 = 1056032
  • 73 + 1055959 = 1056032
  • 139 + 1055893 = 1056032
  • 151 + 1055881 = 1056032
  • 181 + 1055851 = 1056032
  • 193 + 1055839 = 1056032
  • 223 + 1055809 = 1056032
  • 421 + 1055611 = 1056032

Showing the first eight; more decompositions exist.

Hex color
#101D20
RGB(16, 29, 32)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.29.32.

Address
0.16.29.32
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.29.32

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 5, 6032 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 6032-05-01 (DMMYYYY (Euro, single-digit day))
  • 6032-10-05 (MMDYYYY (US, single-digit day))
  • 6032-05-10 (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 1,056,032 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°.