| Base | Representation |
|---|---|
| bin | 10010110000111… |
| … | …11011110100000 |
| 3 | 101222012112020100 |
| 4 | 21120133132200 |
| 5 | 310244242303 |
| 6 | 23341542400 |
| 7 | 3621002550 |
| oct | 1130373640 |
| 9 | 358175210 |
| 10 | 157415328 |
| 11 | 80947514 |
| 12 | 44874a00 |
| 13 | 267c7185 |
| 14 | 16c99160 |
| 15 | dc468a3 |
| hex | 961f7a0 |
157415328 has 144 divisors (see below), whose sum is σ = 516874176. Its totient is φ = 44513280.
The previous prime is 157415309. The next prime is 157415347. The reversal of 157415328 is 823514751.
157415328 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (157415309) and next prime (157415347).
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 157415292 and 157415301.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 227463 + ... + 228153.
It is an arithmetic number, because the mean of its divisors is an integer number (3589404).
Almost surely, 2157415328 is an apocalyptic number.
157415328 is a gapful number since it is divisible by the number (18) 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 157415328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258437088).
157415328 is an abundant number, since it is smaller than the sum of its proper divisors (359458848).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
157415328 is a wasteful number, since it uses less digits than its factorization.
157415328 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 827 (or 816 counting only the distinct ones).
The product of its digits is 33600, while the sum is 36.
The square root of 157415328 is about 12546.5265312755. The cubic root of 157415328 is about 539.9443564064.
The spelling of 157415328 in words is "one hundred fifty-seven million, four hundred fifteen thousand, three hundred twenty-eight".
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