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1,053,240

1,053,240 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.).

1,053,240 (one million fifty-three thousand two hundred forty) is an even 7-digit number. It is a composite number with 64 divisors, and factors as 2³ × 3 × 5 × 67 × 131. Its proper divisors sum to 2,178,120, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x101238.

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

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
21 bits
Reversed
423,501
Square (n²)
1,109,314,497,600
Cube (n³)
1,168,374,401,452,224,000
Divisor count
64
σ(n) — sum of divisors
3,231,360
φ(n) — Euler's totient
274,560
Sum of prime factors
212

Primality

Prime factorization: 2 3 × 3 × 5 × 67 × 131

Nearest primes: 1,053,233 (−7) · 1,053,257 (+17)

Divisors & multiples

All divisors (64)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 20 · 24 · 30 · 40 · 60 · 67 · 120 · 131 · 134 · 201 · 262 · 268 · 335 · 393 · 402 · 524 · 536 · 655 · 670 · 786 · 804 · 1005 · 1048 · 1310 · 1340 · 1572 · 1608 · 1965 · 2010 · 2620 · 2680 · 3144 · 3930 · 4020 · 5240 · 7860 · 8040 · 8777 · 15720 · 17554 · 26331 · 35108 · 43885 · 52662 · 70216 · 87770 · 105324 · 131655 · 175540 · 210648 · 263310 · 351080 · 526620 (half) · 1053240
Aliquot sum (sum of proper divisors): 2,178,120
Factor pairs (a × b = 1,053,240)
1 × 1053240
2 × 526620
3 × 351080
4 × 263310
5 × 210648
6 × 175540
8 × 131655
10 × 105324
12 × 87770
15 × 70216
20 × 52662
24 × 43885
30 × 35108
40 × 26331
60 × 17554
67 × 15720
120 × 8777
131 × 8040
134 × 7860
201 × 5240
262 × 4020
268 × 3930
335 × 3144
393 × 2680
402 × 2620
524 × 2010
536 × 1965
655 × 1608
670 × 1572
786 × 1340
804 × 1310
1005 × 1048
First multiples
1,053,240 · 2,106,480 (double) · 3,159,720 · 4,212,960 · 5,266,200 · 6,319,440 · 7,372,680 · 8,425,920 · 9,479,160 · 10,532,400

Sums & aliquot sequence

As consecutive integers: 351,079 + 351,080 + 351,081 210,646 + 210,647 + 210,648 + 210,649 + 210,650 70,209 + 70,210 + … + 70,223 65,820 + 65,821 + … + 65,835
Aliquot sequence: 1,053,240 2,178,120 5,292,600 11,116,320 23,901,600 57,468,192 94,905,120 206,128,032 384,150,720 835,530,864 1,631,275,536 3,126,600,496 3,210,788,528 3,024,494,680 4,130,850,920 6,709,557,280 10,074,209,720 — keeps growing

Continued fraction of √n

√1,053,240 = [1026; (3, 1, 1, 1, 3, 3, 7, 7, 1, 1, 1, 1, 4, 16, 1, 2, 1, 15, 6, 15, 1, 2, 1, 16, …)]

Period length 38 — the block in parentheses repeats forever.

Representations

In words
one million fifty-three thousand two hundred forty
Ordinal
1053240th
Binary
100000001001000111000
Octal
4011070
Hexadecimal
0x101238
Base64
EBI4
One's complement
4,293,914,055 (32-bit)
Scientific notation
1.05324 × 10⁶
As a duration
1,053,240 s = 12 days, 4 hours, 34 minutes
In other bases
ternary (3) 1222111202220
quaternary (4) 10001020320
quinary (5) 232200430
senary (6) 34324040
septenary (7) 11644446
nonary (9) 1874686
undecimal (11) 65a351
duodecimal (12) 429620
tridecimal (13) 2ab526
tetradecimal (14) 1d5b96
pentadecimal (15) 15c110

As an angle

1,053,240° = 2,925 × 360° + 240°
240° ≈ 4.189 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆
Chinese
一百零五萬三千二百四十
Chinese (financial)
壹佰零伍萬參仟貳佰肆拾
In other modern scripts
Eastern Arabic ١٠٥٣٢٤٠ Devanagari १०५३२४० Bengali ১০৫৩২৪০ Tamil ௧௦௫௩௨௪௦ Thai ๑๐๕๓๒๔๐ Tibetan ༡༠༥༣༢༤༠ Khmer ១០៥៣២៤០ Lao ໑໐໕໓໒໔໐ Burmese ၁၀၅၃၂၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1053240, here are decompositions:

  • 7 + 1053233 = 1053240
  • 43 + 1053197 = 1053240
  • 59 + 1053181 = 1053240
  • 61 + 1053179 = 1053240
  • 137 + 1053103 = 1053240
  • 151 + 1053089 = 1053240
  • 157 + 1053083 = 1053240
  • 173 + 1053067 = 1053240

Showing the first eight; more decompositions exist.

Hex color
#101238
RGB(16, 18, 56)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.18.56.

Address
0.16.18.56
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.18.56

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

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 5, 3240 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 3240-05-01 (DMMYYYY (Euro, single-digit day))
  • 3240-10-05 (MMDYYYY (US, single-digit day))
  • 3240-05-10 (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 1,053,240 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°.