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120,740

120,740 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.).

120,740 (one hundred twenty thousand seven hundred forty) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 5 × 6,037. Its proper divisors sum to 132,856, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D7A4.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Happy Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
47,021
Square (n²)
14,578,147,600
Cube (n³)
1,760,165,541,224,000
Divisor count
12
σ(n) — sum of divisors
253,596
φ(n) — Euler's totient
48,288
Sum of prime factors
6,046

Primality

Prime factorization: 2 2 × 5 × 6037

Nearest primes: 120,739 (−1) · 120,749 (+9)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 5 · 10 · 20 · 6037 · 12074 · 24148 · 30185 · 60370 (half) · 120740
Aliquot sum (sum of proper divisors): 132,856
Factor pairs (a × b = 120,740)
1 × 120740
2 × 60370
4 × 30185
5 × 24148
10 × 12074
20 × 6037
First multiples
120,740 · 241,480 (double) · 362,220 · 482,960 · 603,700 · 724,440 · 845,180 · 965,920 · 1,086,660 · 1,207,400

Sums & aliquot sequence

As a sum of two squares: 32² + 346² = 182² + 296²
As consecutive integers: 24,146 + 24,147 + 24,148 + 24,149 + 24,150 15,089 + 15,090 + … + 15,096 2,999 + 3,000 + … + 3,038
Aliquot sequence: 120,740 132,856 116,264 101,746 50,876 56,644 65,849 12,871 273 175 73 1 0 — terminates at zero

Continued fraction of √n

√120,740 = [347; (2, 10, 5, 4, 1, 3, 3, 3, 1, 1, 7, 14, 19, 1, 3, 1, 1, 1, 6, 1, 172, 1, 6, 1, …)]

Period length 42 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty thousand seven hundred forty
Ordinal
120740th
Binary
11101011110100100
Octal
353644
Hexadecimal
0x1D7A4
Base64
Adek
One's complement
4,294,846,555 (32-bit)
Scientific notation
1.2074 × 10⁵
As a duration
120,740 s = 1 day, 9 hours, 32 minutes, 20 seconds
In other bases
ternary (3) 20010121212
quaternary (4) 131132210
quinary (5) 12330430
senary (6) 2330552
septenary (7) 1012004
nonary (9) 203555
undecimal (11) 82794
duodecimal (12) 59a58
tridecimal (13) 42c59
tetradecimal (14) 32004
pentadecimal (15) 25b95

As an angle

120,740° = 335 × 360° + 140°
140° ≈ 2.443 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρκψμʹ
Mayan (base 20)
𝋯·𝋡·𝋱·𝋠
Chinese
一十二萬零七百四十
Chinese (financial)
壹拾貳萬零柒佰肆拾
In other modern scripts
Eastern Arabic ١٢٠٧٤٠ Devanagari १२०७४० Bengali ১২০৭৪০ Tamil ௧௨௦௭௪௦ Thai ๑๒๐๗๔๐ Tibetan ༡༢༠༧༤༠ Khmer ១២០៧៤០ Lao ໑໒໐໗໔໐ Burmese ၁၂၀၇၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120740, here are decompositions:

  • 3 + 120737 = 120740
  • 19 + 120721 = 120740
  • 31 + 120709 = 120740
  • 79 + 120661 = 120740
  • 163 + 120577 = 120740
  • 229 + 120511 = 120740
  • 313 + 120427 = 120740
  • 349 + 120391 = 120740

Showing the first eight; more decompositions exist.

Unicode codepoint
𝞤
Mathematical Sans-Serif Bold Italic Capital Upsilon
U+1D7A4
Uppercase letter (Lu)

UTF-8 encoding: F0 9D 9E A4 (4 bytes).

Hex color
#01D7A4
RGB(1, 215, 164)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.215.164.

Address
0.1.215.164
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.215.164

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 120,740 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 120740 first appears in π at position 443,239 of the decimal expansion (the 443,239ordinal-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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.