8,742,132
8,742,132 is a composite number, even.
8,742,132 (eight million seven hundred forty-two thousand one hundred thirty-two) is an even 7-digit number. It is a composite number with 72 divisors, and factors as 2² × 3² × 7 × 113 × 307. Its proper divisors sum to 16,819,404, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x8564F4.
Interestingness
Properties
- Parity
- Even
- Digit count
- 7
- Digit sum
- 27
- Digit product
- 2,688
- Digital root
- 9
- Palindrome
- No
- Bit width
- 24 bits
- Reversed
- 2,312,478
- Square (n²)
- 76,424,871,905,424
- Divisor count
- 72
- σ(n) — sum of divisors
- 25,561,536
- φ(n) — Euler's totient
- 2,467,584
- Sum of prime factors
- 437
Primality
Prime factorization: 2 2 × 3 2 × 7 × 113 × 307
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√8,742,132 = [2956; (1, 2, 2, 3, 1, 52, 41, 2, 1, 368, 1, 11, 2, 1, 1, 210, 1, 1, 2, 11, 1, 368, 1, 2, …)]
Period length 32 — the block in parentheses repeats forever.
Representations
- In words
- eight million seven hundred forty-two thousand one hundred thirty-two
- Ordinal
- 8742132nd
- Binary
- 100001010110010011110100
- Octal
- 41262364
- Hexadecimal
- 0x8564F4
- Base64
- hWT0
- One's complement
- 4,286,225,163 (32-bit)
- Scientific notation
- 8.742132 × 10⁶
- As a duration
- 8,742,132 s = 101 days, 4 hours, 22 minutes, 12 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒌋 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓁨𓁨𓁨𓁨𓁨𓁨𓁨𓁨𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓎆𓎆𓎆𓏺𓏺
- Chinese
- 八百七十四萬二千一百三十二
- Chinese (financial)
- 捌佰柒拾肆萬貳仟壹佰參拾貳
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 8742132, here are decompositions:
- 11 + 8742121 = 8742132
- 29 + 8742103 = 8742132
- 73 + 8742059 = 8742132
- 149 + 8741983 = 8742132
- 181 + 8741951 = 8742132
- 199 + 8741933 = 8742132
- 271 + 8741861 = 8742132
- 293 + 8741839 = 8742132
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.133.100.244.
- Address
- 0.133.100.244
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.133.100.244
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 8,742,132 and was likely granted around 2014.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
Related reading
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.