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120,770

120,770 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.).

120,770 (one hundred twenty thousand seven hundred seventy) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 5 × 13 × 929. Written other ways, in hexadecimal, 0x1D7C2.

Cube-Free Deficient Number Evil Number Gapful Number Happy Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
77,021
Square (n²)
14,585,392,900
Cube (n³)
1,761,477,900,533,000
Divisor count
16
σ(n) — sum of divisors
234,360
φ(n) — Euler's totient
44,544
Sum of prime factors
949

Primality

Prime factorization: 2 × 5 × 13 × 929

Nearest primes: 120,767 (−3) · 120,779 (+9)

Divisors & multiples

All divisors (16)
1 · 2 · 5 · 10 · 13 · 26 · 65 · 130 · 929 · 1858 · 4645 · 9290 · 12077 · 24154 · 60385 (half) · 120770
Aliquot sum (sum of proper divisors): 113,590
Factor pairs (a × b = 120,770)
1 × 120770
2 × 60385
5 × 24154
10 × 12077
13 × 9290
26 × 4645
65 × 1858
130 × 929
First multiples
120,770 · 241,540 (double) · 362,310 · 483,080 · 603,850 · 724,620 · 845,390 · 966,160 · 1,086,930 · 1,207,700

Sums & aliquot sequence

As a sum of two squares: 19² + 347² = 67² + 341² = 151² + 313² = 193² + 289²
As consecutive integers: 30,191 + 30,192 + 30,193 + 30,194 24,152 + 24,153 + 24,154 + 24,155 + 24,156 9,284 + 9,285 + … + 9,296 6,029 + 6,030 + … + 6,048
Aliquot sequence: 120,770 113,590 97,082 48,544 52,004 39,010 33,566 20,698 10,982 7,438 3,722 1,864 1,646 826 614 310 266 — unresolved within range

Continued fraction of √n

√120,770 = [347; (1, 1, 12, 7, 3, 5, 2, 2, 1, 6, 1, 1, 1, 1, 6, 1, 2, 2, 5, 3, 7, 12, 1, 1, …)]

Period length 25 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty thousand seven hundred seventy
Ordinal
120770th
Binary
11101011111000010
Octal
353702
Hexadecimal
0x1D7C2
Base64
AdfC
One's complement
4,294,846,525 (32-bit)
Scientific notation
1.2077 × 10⁵
As a duration
120,770 s = 1 day, 9 hours, 32 minutes, 50 seconds
In other bases
ternary (3) 20010122222
quaternary (4) 131133002
quinary (5) 12331040
senary (6) 2331042
septenary (7) 1012046
nonary (9) 203588
undecimal (11) 82811
duodecimal (12) 59a82
tridecimal (13) 42c80
tetradecimal (14) 32026
pentadecimal (15) 25bb5

As an angle

120,770° = 335 × 360° + 170°
170° ≈ 2.967 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρκψοʹ
Mayan (base 20)
𝋯·𝋡·𝋲·𝋪
Chinese
一十二萬零七百七十
Chinese (financial)
壹拾貳萬零柒佰柒拾
In other modern scripts
Eastern Arabic ١٢٠٧٧٠ Devanagari १२०७७० Bengali ১২০৭৭০ Tamil ௧௨௦௭௭௦ Thai ๑๒๐๗๗๐ Tibetan ༡༢༠༧༧༠ Khmer ១២០៧៧០ Lao ໑໒໐໗໗໐ Burmese ၁၂၀၇၇၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120770, here are decompositions:

  • 3 + 120767 = 120770
  • 7 + 120763 = 120770
  • 31 + 120739 = 120770
  • 61 + 120709 = 120770
  • 79 + 120691 = 120770
  • 109 + 120661 = 120770
  • 151 + 120619 = 120770
  • 163 + 120607 = 120770

Showing the first eight; more decompositions exist.

Unicode codepoint
𝟂
Mathematical Sans-Serif Bold Italic Small Omega
U+1D7C2
Lowercase letter (Ll)

UTF-8 encoding: F0 9D 9F 82 (4 bytes).

Hex color
#01D7C2
RGB(1, 215, 194)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.215.194.

Address
0.1.215.194
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.215.194

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 120,770 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 120770 first appears in π at position 618,442 of the decimal expansion (the 618,442ordinal-suffix:nd 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.