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157108032 = 2633235967
BaseRepresentation
bin10010101110101…
…00011101000000
3101221121220201000
421113110131000
5310204424112
623331212000
73615252624
oct1127243500
9357556630
10157108032
1180757654
1244747000
132671a343
1416c19184
15dbd57dc
hex95d4740

157108032 has 224 divisors, whose sum is σ = 497433600. Its totient is φ = 48508416.

The previous prime is 157108027. The next prime is 157108037. The reversal of 157108032 is 230801751.

157108032 is digitally balanced in base 3, because in such base 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 (157108027) and next prime (157108037).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 157107987 and 157108005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157108037) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2344863 + ... + 2344929.

Almost surely, 2157108032 is an apocalyptic number.

157108032 is a gapful number since it is divisible by the number (12) 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 157108032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248716800).

157108032 is an abundant number, since it is smaller than the sum of its proper divisors (340325568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

157108032 is a wasteful number, since it uses less digits than its factorization.

157108032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 157108032 is about 12534.2742909193. The cubic root of 157108032 is about 539.5927794069.

Adding to 157108032 its reverse (230801751), we get a palindrome (387909783).

The spelling of 157108032 in words is "one hundred fifty-seven million, one hundred eight thousand, thirty-two".