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120,472

120,472 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.).

120,472 (one hundred twenty thousand four hundred seventy-two) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2³ × 11 × 37². Its proper divisors sum to 132,788, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D698.

Abundant Number Odious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
17 bits
Reversed
274,021
Square (n²)
14,513,502,784
Cube (n³)
1,748,470,707,394,048
Divisor count
24
σ(n) — sum of divisors
253,260
φ(n) — Euler's totient
53,280
Sum of prime factors
91

Primality

Prime factorization: 2 3 × 11 × 37 2

Nearest primes: 120,431 (−41) · 120,473 (+1)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 8 · 11 · 22 · 37 · 44 · 74 · 88 · 148 · 296 · 407 · 814 · 1369 · 1628 · 2738 · 3256 · 5476 · 10952 · 15059 · 30118 · 60236 (half) · 120472
Aliquot sum (sum of proper divisors): 132,788
Factor pairs (a × b = 120,472)
1 × 120472
2 × 60236
4 × 30118
8 × 15059
11 × 10952
22 × 5476
37 × 3256
44 × 2738
74 × 1628
88 × 1369
148 × 814
296 × 407
First multiples
120,472 · 240,944 (double) · 361,416 · 481,888 · 602,360 · 722,832 · 843,304 · 963,776 · 1,084,248 · 1,204,720

Sums & aliquot sequence

As consecutive integers: 10,947 + 10,948 + … + 10,957 7,522 + 7,523 + … + 7,537 3,238 + 3,239 + … + 3,274 597 + 598 + … + 772
Aliquot sequence: 120,472 132,788 102,832 96,436 72,334 38,186 20,218 12,902 6,454 4,634 3,334 1,670 1,354 680 940 1,076 814 — unresolved within range

Continued fraction of √n

√120,472 = [347; (11, 57, 1, 3, 8, 77, 99, 6, 2, 2, 1, 1, 7, 1, 2, 8, 4, 2, 10, 1, 1, 2, 1, 13, …)]

Representations

In words
one hundred twenty thousand four hundred seventy-two
Ordinal
120472nd
Binary
11101011010011000
Octal
353230
Hexadecimal
0x1D698
Base64
AdaY
One's complement
4,294,846,823 (32-bit)
Scientific notation
1.20472 × 10⁵
As a duration
120,472 s = 1 day, 9 hours, 27 minutes, 52 seconds
In other bases
ternary (3) 20010020221
quaternary (4) 131122120
quinary (5) 12323342
senary (6) 2325424
septenary (7) 1011142
nonary (9) 203227
undecimal (11) 82570
duodecimal (12) 59874
tridecimal (13) 42ab1
tetradecimal (14) 31c92
pentadecimal (15) 25a67

As an angle

120,472° = 334 × 360° + 232°
232° ≈ 4.049 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρκυοβʹ
Mayan (base 20)
𝋯·𝋡·𝋣·𝋬
Chinese
一十二萬零四百七十二
Chinese (financial)
壹拾貳萬零肆佰柒拾貳
In other modern scripts
Eastern Arabic ١٢٠٤٧٢ Devanagari १२०४७२ Bengali ১২০৪৭২ Tamil ௧௨௦௪௭௨ Thai ๑๒๐๔๗๒ Tibetan ༡༢༠༤༧༢ Khmer ១២០៤៧២ Lao ໑໒໐໔໗໒ Burmese ၁၂၀၄၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120472, here are decompositions:

  • 41 + 120431 = 120472
  • 59 + 120413 = 120472
  • 71 + 120401 = 120472
  • 89 + 120383 = 120472
  • 101 + 120371 = 120472
  • 173 + 120299 = 120472
  • 179 + 120293 = 120472
  • 239 + 120233 = 120472

Showing the first eight; more decompositions exist.

Unicode codepoint
𝚘
Mathematical Monospace Small O
U+1D698
Lowercase letter (Ll)

UTF-8 encoding: F0 9D 9A 98 (4 bytes).

Hex color
#01D698
RGB(1, 214, 152)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.214.152.

Address
0.1.214.152
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.214.152

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 120,472 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 120472 first appears in π at position 967,121 of the decimal expansion (the 967,121ordinal-suffix:st 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