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120,552

120,552 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.).

120,552 (one hundred twenty thousand five hundred fifty-two) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 3 × 5,023. Its proper divisors sum to 180,888, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D6E8.

Abundant Number Arithmetic Number Evil Number Gapful Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
17 bits
Reversed
255,021
Square (n²)
14,532,784,704
Cube (n³)
1,751,956,261,636,608
Divisor count
16
σ(n) — sum of divisors
301,440
φ(n) — Euler's totient
40,176
Sum of prime factors
5,032

Primality

Prime factorization: 2 3 × 3 × 5023

Nearest primes: 120,551 (−1) · 120,557 (+5)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 24 · 5023 · 10046 · 15069 · 20092 · 30138 · 40184 · 60276 (half) · 120552
Aliquot sum (sum of proper divisors): 180,888
Factor pairs (a × b = 120,552)
1 × 120552
2 × 60276
3 × 40184
4 × 30138
6 × 20092
8 × 15069
12 × 10046
24 × 5023
First multiples
120,552 · 241,104 (double) · 361,656 · 482,208 · 602,760 · 723,312 · 843,864 · 964,416 · 1,084,968 · 1,205,520

Sums & aliquot sequence

As consecutive integers: 40,183 + 40,184 + 40,185 7,527 + 7,528 + … + 7,542 2,488 + 2,489 + … + 2,535
Aliquot sequence: 120,552 180,888 271,392 508,800 1,198,680 2,913,960 7,079,640 14,159,640 34,984,680 69,969,720 141,589,320 284,734,200 597,943,680 1,467,189,120 3,593,316,480 9,392,344,320 20,604,467,616 — keeps growing

Continued fraction of √n

√120,552 = [347; (4, 1, 5, 1, 7, 7, 1, 3, 4, 3, 4, 1, 1, 4, 1, 4, 1, 11, 2, 1, 4, 1, 1, 2, …)]

Period length 58 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty thousand five hundred fifty-two
Ordinal
120552nd
Binary
11101011011101000
Octal
353350
Hexadecimal
0x1D6E8
Base64
Adbo
One's complement
4,294,846,743 (32-bit)
Scientific notation
1.20552 × 10⁵
As a duration
120,552 s = 1 day, 9 hours, 29 minutes, 12 seconds
In other bases
ternary (3) 20010100220
quaternary (4) 131123220
quinary (5) 12324202
senary (6) 2330040
septenary (7) 1011315
nonary (9) 203326
undecimal (11) 82633
duodecimal (12) 59920
tridecimal (13) 42b43
tetradecimal (14) 31d0c
pentadecimal (15) 25abc

As an angle

120,552° = 334 × 360° + 312°
312° ≈ 5.445 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρκφνβʹ
Mayan (base 20)
𝋯·𝋡·𝋧·𝋬
Chinese
一十二萬零五百五十二
Chinese (financial)
壹拾貳萬零伍佰伍拾貳
In other modern scripts
Eastern Arabic ١٢٠٥٥٢ Devanagari १२०५५२ Bengali ১২০৫৫২ Tamil ௧௨௦௫௫௨ Thai ๑๒๐๕๕๒ Tibetan ༡༢༠༥༥༢ Khmer ១២០៥៥២ Lao ໑໒໐໕໕໒ Burmese ၁၂၀၅၅၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120552, here are decompositions:

  • 13 + 120539 = 120552
  • 41 + 120511 = 120552
  • 79 + 120473 = 120552
  • 139 + 120413 = 120552
  • 151 + 120401 = 120552
  • 181 + 120371 = 120552
  • 233 + 120319 = 120552
  • 269 + 120283 = 120552

Showing the first eight; more decompositions exist.

Unicode codepoint
𝛨
Mathematical Italic Capital Eta
U+1D6E8
Uppercase letter (Lu)

UTF-8 encoding: F0 9D 9B A8 (4 bytes).

Hex color
#01D6E8
RGB(1, 214, 232)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.214.232.

Address
0.1.214.232
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.214.232

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

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 120,552 and was likely granted around 1871.

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

Position in π

The digit sequence 120552 first appears in π at position 503,857 of the decimal expansion (the 503,857ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Related reading

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