| Base | Representation |
|---|---|
| bin | 10010101110001… |
| … | …00000000000000 |
| 3 | 101221111111021000 |
| 4 | 21113010000000 |
| 5 | 310200300030 |
| 6 | 23325532000 |
| 7 | 3614552301 |
| oct | 1127040000 |
| 9 | 357444230 |
| 10 | 157040640 |
| 11 | 80710a59 |
| 12 | 44714000 |
| 13 | 266c5773 |
| 14 | 16bdc7a8 |
| 15 | dbc0860 |
| hex | 95c4000 |
157040640 has 240 divisors, whose sum is σ = 566213760. Its totient is φ = 41287680.
The previous prime is 157040627. The next prime is 157040647. The reversal of 157040640 is 46040751.
157040640 is a `hidden beast` number, since 15 + 7 + 0 + 4 + 0 + 640 = 666.
It is a tau number, because it is divible by the number of its divisors (240).
It is a super-2 number, since 2×1570406402 = 49323525223219200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is not an unprimeable number, because it can be changed into a prime (157040647) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2211805 + ... + 2211875.
It is an arithmetic number, because the mean of its divisors is an integer number (2359224).
Almost surely, 2157040640 is an apocalyptic number.
157040640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 157040640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283106880).
157040640 is an abundant number, since it is smaller than the sum of its proper divisors (409173120).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
157040640 is an frugal number, since it uses more digits than its factorization.
157040640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 113 (or 81 counting only the distinct ones).
The product of its (nonzero) digits is 3360, while the sum is 27.
The square root of 157040640 is about 12531.5856937580. The cubic root of 157040640 is about 539.5156150148.
The spelling of 157040640 in words is "one hundred fifty-seven million, forty thousand, six hundred forty".
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