120,780
120,780 is a composite number, even.
120,780 (one hundred twenty thousand seven hundred eighty) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2² × 3² × 5 × 11 × 61. Its proper divisors sum to 285,444, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D7CC.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 18
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 87,021
- Square (n²)
- 14,587,808,400
- Cube (n³)
- 1,761,915,498,552,000
- Divisor count
- 72
- σ(n) — sum of divisors
- 406,224
- φ(n) — Euler's totient
- 28,800
- Sum of prime factors
- 87
Primality
Prime factorization: 2 2 × 3 2 × 5 × 11 × 61
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√120,780 = [347; (1, 1, 6, 1, 4, 2, 3, 1, 1, 1, 1, 2, 1, 14, 1, 2, 1, 1, 1, 1, 3, 2, 4, 1, …)]
Period length 28 — the block in parentheses repeats forever.
Representations
- In words
- one hundred twenty thousand seven hundred eighty
- Ordinal
- 120780th
- Binary
- 11101011111001100
- Octal
- 353714
- Hexadecimal
- 0x1D7CC
- Base64
- AdfM
- One's complement
- 4,294,846,515 (32-bit)
- Scientific notation
- 1.2078 × 10⁵
- As a duration
- 120,780 s = 1 day, 9 hours, 33 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ρκψπʹ
- Mayan (base 20)
- 𝋯·𝋡·𝋳·𝋠
- Chinese
- 一十二萬零七百八十
- Chinese (financial)
- 壹拾貳萬零柒佰捌拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120780, here are decompositions:
- 13 + 120767 = 120780
- 17 + 120763 = 120780
- 31 + 120749 = 120780
- 41 + 120739 = 120780
- 43 + 120737 = 120780
- 59 + 120721 = 120780
- 67 + 120713 = 120780
- 71 + 120709 = 120780
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.215.204.
- Address
- 0.1.215.204
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.215.204
Unspecified address (0.0.0.0/8) — "this network" placeholder.
This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 120,780 and was likely granted around 1871.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 120780 first appears in π at position 596,425 of the decimal expansion (the 596,425ordinal-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°.