Search a number
-
+
157035978 = 23211272101
BaseRepresentation
bin10010101110000…
…10110111001010
3101221111020212100
421113002313022
5310200122403
623325454230
73614532561
oct1127026712
9357436770
10157035978
1180708500
1244711376
13266c35c8
1416bdabd8
15dbbe2a3
hex95c2dca

157035978 has 36 divisors (see below), whose sum is σ = 373993074. Its totient is φ = 47586000.

The previous prime is 157035971. The next prime is 157036057. The reversal of 157035978 is 879530751.

157035978 is a `hidden beast` number, since 1 + 57 + 0 + 3 + 597 + 8 = 666.

157035978 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 149891049 + 7144929 = 12243^2 + 2673^2 .

It is not an unprimeable number, because it can be changed into a prime (157035971) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 33873 + ... + 38228.

Almost surely, 2157035978 is an apocalyptic number.

157035978 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

157035978 is an abundant number, since it is smaller than the sum of its proper divisors (216957096).

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

157035978 is a wasteful number, since it uses less digits than its factorization.

157035978 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72131 (or 72117 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 45.

The square root of 157035978 is about 12531.3996823978. The cubic root of 157035978 is about 539.5102761703.

The spelling of 157035978 in words is "one hundred fifty-seven million, thirty-five thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 726 1089 2178 72101 144202 216303 432606 648909 793111 1297818 1586222 2379333 4758666 7137999 8724221 14275998 17448442 26172663 52345326 78517989 157035978