120,720
120,720 is a composite number, even.
120,720 (one hundred twenty thousand seven hundred twenty) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 3 × 5 × 503. Its proper divisors sum to 254,256, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D790.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 12
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 27,021
- Square (n²)
- 14,573,318,400
- Cube (n³)
- 1,759,290,997,248,000
- Divisor count
- 40
- σ(n) — sum of divisors
- 374,976
- φ(n) — Euler's totient
- 32,128
- Sum of prime factors
- 519
Primality
Prime factorization: 2 4 × 3 × 5 × 503
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√120,720 = [347; (2, 4, 3, 2, 2, 2, 9, 2, 1, 2, 5, 1, 7, 1, 5, 2, 1, 2, 9, 2, 2, 2, 3, 4, …)]
Period length 26 — the block in parentheses repeats forever.
Representations
- In words
- one hundred twenty thousand seven hundred twenty
- Ordinal
- 120720th
- Binary
- 11101011110010000
- Octal
- 353620
- Hexadecimal
- 0x1D790
- Base64
- AdeQ
- One's complement
- 4,294,846,575 (32-bit)
- Scientific notation
- 1.2072 × 10⁵
- As a duration
- 120,720 s = 1 day, 9 hours, 32 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
- Greek (Milesian)
- ͵ρκψκʹ
- Mayan (base 20)
- 𝋯·𝋡·𝋰·𝋠
- Chinese
- 一十二萬零七百二十
- Chinese (financial)
- 壹拾貳萬零柒佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120720, here are decompositions:
- 7 + 120713 = 120720
- 11 + 120709 = 120720
- 29 + 120691 = 120720
- 31 + 120689 = 120720
- 43 + 120677 = 120720
- 59 + 120661 = 120720
- 73 + 120647 = 120720
- 79 + 120641 = 120720
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 9D 9E 90 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.1.215.144.
- Address
- 0.1.215.144
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.215.144
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 120,720 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 120720 first appears in π at position 185,499 of the decimal expansion (the 185,499ordinal-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°.