150,720
150,720 is a composite number, even.
150,720 (one hundred fifty thousand seven hundred twenty) is an even 6-digit number. It is a composite number with 56 divisors, and factors as 2⁶ × 3 × 5 × 157. Its proper divisors sum to 330,864, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x24CC0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 15
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 27,051
- Recamán's sequence
- a(209,856) = 150,720
- Square (n²)
- 22,716,518,400
- Cube (n³)
- 3,423,833,653,248,000
- Divisor count
- 56
- σ(n) — sum of divisors
- 481,584
- φ(n) — Euler's totient
- 39,936
- Sum of prime factors
- 177
Primality
Prime factorization: 2 6 × 3 × 5 × 157
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√150,720 = [388; (4, 2, 2, 3, 2, 4, 1, 11, 3, 6, 10, 1, 3, 1, 1, 193, 1, 1, 3, 1, 10, 6, 3, 11, …)]
Period length 32 — the block in parentheses repeats forever.
Representations
- In words
- one hundred fifty thousand seven hundred twenty
- Ordinal
- 150720th
- Binary
- 100100110011000000
- Octal
- 446300
- Hexadecimal
- 0x24CC0
- Base64
- AkzA
- One's complement
- 4,294,816,575 (32-bit)
- Scientific notation
- 1.5072 × 10⁵
- As a duration
- 150,720 s = 1 day, 17 hours, 52 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
- Greek (Milesian)
- ͵ρνψκʹ
- Mayan (base 20)
- 𝋲·𝋰·𝋰·𝋠
- Chinese
- 一十五萬零七百二十
- Chinese (financial)
- 壹拾伍萬零柒佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 150720, here are decompositions:
- 13 + 150707 = 150720
- 23 + 150697 = 150720
- 61 + 150659 = 150720
- 71 + 150649 = 150720
- 103 + 150617 = 150720
- 109 + 150611 = 150720
- 113 + 150607 = 150720
- 131 + 150589 = 150720
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A4 B3 80 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.76.192.
- Address
- 0.2.76.192
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.76.192
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 150,720 and was likely granted around 1873.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 150720 first appears in π at position 315,004 of the decimal expansion (the 315,004ordinal-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°.