Search a number
-
+
157257108 = 22324368253
BaseRepresentation
bin10010101111110…
…00110110010100
3101221220111012100
421113320312110
5310224211413
623334322100
73616443351
oct1127706624
9357814170
10157257108
1180849658
12447b9330
1326770158
1416c57628
15dc14a73
hex95f8d94

157257108 has 18 divisors (see below), whose sum is σ = 397511114. Its totient is φ = 52419024.

The previous prime is 157257083. The next prime is 157257109. The reversal of 157257108 is 801752751.

157257108 is a `hidden beast` number, since 15 + 72 + 571 + 0 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 94245264 + 63011844 = 9708^2 + 7938^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 4368253 = 157257108 / (1 + 5 + 7 + 2 + 5 + 7 + 1 + 0 + 8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157257109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2184091 + ... + 2184162.

Almost surely, 2157257108 is an apocalyptic number.

157257108 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

157257108 is an abundant number, since it is smaller than the sum of its proper divisors (240254006).

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

157257108 is a wasteful number, since it uses less digits than its factorization.

157257108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4368263 (or 4368258 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 36.

The square root of 157257108 is about 12540.2196153018. The cubic root of 157257108 is about 539.7633942867.

The spelling of 157257108 in words is "one hundred fifty-seven million, two hundred fifty-seven thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 12 18 36 4368253 8736506 13104759 17473012 26209518 39314277 52419036 78628554 157257108