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1,053,010

1,053,010 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.).

1,053,010 (one million fifty-three thousand ten) is an even 7-digit number. It is a composite number with 32 divisors, and factors as 2 × 5 × 7³ × 307. Its proper divisors sum to 1,164,590, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x101152.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
10
Digit product
0
Digital root
1
Palindrome
No
Bit width
21 bits
Reversed
103,501
Square (n²)
1,108,830,060,100
Cube (n³)
1,167,609,141,585,901,000
Divisor count
32
σ(n) — sum of divisors
2,217,600
φ(n) — Euler's totient
359,856
Sum of prime factors
335

Primality

Prime factorization: 2 × 5 × 7 3 × 307

Nearest primes: 1,053,007 (−3) · 1,053,029 (+19)

Divisors & multiples

All divisors (32)
1 · 2 · 5 · 7 · 10 · 14 · 35 · 49 · 70 · 98 · 245 · 307 · 343 · 490 · 614 · 686 · 1535 · 1715 · 2149 · 3070 · 3430 · 4298 · 10745 · 15043 · 21490 · 30086 · 75215 · 105301 · 150430 · 210602 · 526505 (half) · 1053010
Aliquot sum (sum of proper divisors): 1,164,590
Factor pairs (a × b = 1,053,010)
1 × 1053010
2 × 526505
5 × 210602
7 × 150430
10 × 105301
14 × 75215
35 × 30086
49 × 21490
70 × 15043
98 × 10745
245 × 4298
307 × 3430
343 × 3070
490 × 2149
614 × 1715
686 × 1535
First multiples
1,053,010 · 2,106,020 (double) · 3,159,030 · 4,212,040 · 5,265,050 · 6,318,060 · 7,371,070 · 8,424,080 · 9,477,090 · 10,530,100

Sums & aliquot sequence

As consecutive integers: 263,251 + 263,252 + 263,253 + 263,254 210,600 + 210,601 + 210,602 + 210,603 + 210,604 150,427 + 150,428 + … + 150,433 52,641 + 52,642 + … + 52,660
Aliquot sequence: 1,053,010 1,164,590 1,268,434 724,742 362,374 183,746 91,876 71,196 105,204 162,924 217,260 490,356 777,456 1,398,744 2,389,716 5,002,284 9,706,452 — unresolved within range

Continued fraction of √n

√1,053,010 = [1026; (6, 6, 1, 14, 2, 1, 12, 4, 3, 1, 1, 2, 4, 41, 1, 1, 1, 10, 7, 3, 1, 4, 2, 1, …)]

Representations

In words
one million fifty-three thousand ten
Ordinal
1053010th
Binary
100000001000101010010
Octal
4010522
Hexadecimal
0x101152
Base64
EBFS
One's complement
4,293,914,285 (32-bit)
Scientific notation
1.05301 × 10⁶
As a duration
1,053,010 s = 12 days, 4 hours, 30 minutes, 10 seconds
In other bases
ternary (3) 1222111110101
quaternary (4) 10001011102
quinary (5) 232144020
senary (6) 34323014
septenary (7) 11644000
nonary (9) 1874411
undecimal (11) 65a162
duodecimal (12) 42946a
tridecimal (13) 2ab3aa
tetradecimal (14) 1d5a70
pentadecimal (15) 15c00a

As an angle

1,053,010° = 2,925 × 360° + 10°
10° ≈ 0.175 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋 𒌋
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓎆
Chinese
一百零五萬三千零一十
Chinese (financial)
壹佰零伍萬參仟零壹拾
In other modern scripts
Eastern Arabic ١٠٥٣٠١٠ Devanagari १०५३०१० Bengali ১০৫৩০১০ Tamil ௧௦௫௩௦௧௦ Thai ๑๐๕๓๐๑๐ Tibetan ༡༠༥༣༠༡༠ Khmer ១០៥៣០១០ Lao ໑໐໕໓໐໑໐ Burmese ၁၀၅၃၀၁၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1053010, here are decompositions:

  • 3 + 1053007 = 1053010
  • 17 + 1052993 = 1053010
  • 29 + 1052981 = 1053010
  • 71 + 1052939 = 1053010
  • 113 + 1052897 = 1053010
  • 137 + 1052873 = 1053010
  • 191 + 1052819 = 1053010
  • 197 + 1052813 = 1053010

Showing the first eight; more decompositions exist.

Hex color
#101152
RGB(16, 17, 82)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.17.82.

Address
0.16.17.82
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.17.82

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

Possible date

Could be parsed as a date. Most likely interpretation: Friday, January 5, 3010 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 3010-05-01 (DMMYYYY (Euro, single-digit day))
  • 3010-10-05 (MMDYYYY (US, single-digit day))
  • 3010-05-10 (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 1,053,010 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°.