number.wiki
Live analysis

1,040,052

1,040,052 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.).

1,040,052 (one million forty thousand fifty-two) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2² × 3 × 13 × 59 × 113. Its proper divisors sum to 1,641,228, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFDEB4.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Harshad / Niven Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
20 bits
Reversed
2,500,401
Square (n²)
1,081,708,162,704
Cube (n³)
1,125,032,738,036,620,608
Divisor count
48
σ(n) — sum of divisors
2,681,280
φ(n) — Euler's totient
311,808
Sum of prime factors
192

Primality

Prime factorization: 2 2 × 3 × 13 × 59 × 113

Nearest primes: 1,040,051 (−1) · 1,040,057 (+5)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 6 · 12 · 13 · 26 · 39 · 52 · 59 · 78 · 113 · 118 · 156 · 177 · 226 · 236 · 339 · 354 · 452 · 678 · 708 · 767 · 1356 · 1469 · 1534 · 2301 · 2938 · 3068 · 4407 · 4602 · 5876 · 6667 · 8814 · 9204 · 13334 · 17628 · 20001 · 26668 · 40002 · 80004 · 86671 · 173342 · 260013 · 346684 · 520026 (half) · 1040052
Aliquot sum (sum of proper divisors): 1,641,228
Factor pairs (a × b = 1,040,052)
1 × 1040052
2 × 520026
3 × 346684
4 × 260013
6 × 173342
12 × 86671
13 × 80004
26 × 40002
39 × 26668
52 × 20001
59 × 17628
78 × 13334
113 × 9204
118 × 8814
156 × 6667
177 × 5876
226 × 4602
236 × 4407
339 × 3068
354 × 2938
452 × 2301
678 × 1534
708 × 1469
767 × 1356
First multiples
1,040,052 · 2,080,104 (double) · 3,120,156 · 4,160,208 · 5,200,260 · 6,240,312 · 7,280,364 · 8,320,416 · 9,360,468 · 10,400,520

Sums & aliquot sequence

As consecutive integers: 346,683 + 346,684 + 346,685 130,003 + 130,004 + … + 130,010 79,998 + 79,999 + … + 80,010 43,324 + 43,325 + … + 43,347
Aliquot sequence: 1,040,052 1,641,228 2,188,332 3,413,628 5,215,356 8,040,796 6,858,452 5,211,424 5,126,876 3,910,684 2,933,020 3,344,804 2,521,420 3,371,348 2,789,716 2,304,716 1,728,544 — unresolved within range

Continued fraction of √n

√1,040,052 = [1019; (1, 4, 1, 6, 4, 2, 5, 2, 3, 6, 15, 2, 2, 3, 3, 1, 3, 5, 2, 1, 1, 1, 1, 126, …)]

Representations

In words
one million forty thousand fifty-two
Ordinal
1040052nd
Binary
11111101111010110100
Octal
3757264
Hexadecimal
0xFDEB4
Base64
D960
One's complement
4,293,927,243 (32-bit)
Scientific notation
1.040052 × 10⁶
As a duration
1,040,052 s = 12 days, 54 minutes, 12 seconds
In other bases
ternary (3) 1221211200110
quaternary (4) 3331322310
quinary (5) 231240202
senary (6) 34143020
septenary (7) 11561136
nonary (9) 1854613
undecimal (11) 650452
duodecimal (12) 421a70
tridecimal (13) 2a5520
tetradecimal (14) 1d1056
pentadecimal (15) 15826c

As an angle

1,040,052° = 2,889 × 360° + 12°
12° ≈ 0.209 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Chinese
一百零四萬零五十二
Chinese (financial)
壹佰零肆萬零伍拾貳
In other modern scripts
Eastern Arabic ١٠٤٠٠٥٢ Devanagari १०४००५२ Bengali ১০৪০০৫২ Tamil ௧௦௪௦௦௫௨ Thai ๑๐๔๐๐๕๒ Tibetan ༡༠༤༠༠༥༢ Khmer ១០៤០០៥២ Lao ໑໐໔໐໐໕໒ Burmese ၁၀၄၀၀၅၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1040052, here are decompositions:

  • 23 + 1040029 = 1040052
  • 31 + 1040021 = 1040052
  • 53 + 1039999 = 1040052
  • 73 + 1039979 = 1040052
  • 103 + 1039949 = 1040052
  • 109 + 1039943 = 1040052
  • 131 + 1039921 = 1040052
  • 151 + 1039901 = 1040052

Showing the first eight; more decompositions exist.

Hex color
#0FDEB4
RGB(15, 222, 180)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.222.180.

Address
0.15.222.180
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.222.180

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

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 4, 0052 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 0052-04-01 (DMMYYYY (Euro, single-digit day))
  • 0052-10-04 (MMDYYYY (US, single-digit day))
  • 0052-04-10 (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 1,040,052 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°.