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157157300 = 22523135021
BaseRepresentation
bin10010101111000…
…00011110110100
3101221201102021202
421113200132310
5310213013200
623332232032
73615546356
oct1127403664
9357642252
10157157300
1180790673
124476b618
13267368b1
1416c2d0d6
15dbe51d5
hex95e07b4

157157300 has 36 divisors (see below), whose sum is σ = 342189036. Its totient is φ = 62649600.

The previous prime is 157157281. The next prime is 157157311. The reversal of 157157300 is 3751751.

157157300 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 6 ways, for example, as 10214416 + 146942884 = 3196^2 + 12122^2 .

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28790 + ... + 33810.

It is an arithmetic number, because the mean of its divisors is an integer number (9505251).

Almost surely, 2157157300 is an apocalyptic number.

157157300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

157157300 is an abundant number, since it is smaller than the sum of its proper divisors (185031736).

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

157157300 is a wasteful number, since it uses less digits than its factorization.

157157300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5348 (or 5341 counting only the distinct ones).

The product of its (nonzero) digits is 3675, while the sum is 29.

The square root of 157157300 is about 12536.2394680383. The cubic root of 157157300 is about 539.6491777087.

The spelling of 157157300 in words is "one hundred fifty-seven million, one hundred fifty-seven thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 313 626 1252 1565 3130 5021 6260 7825 10042 15650 20084 25105 31300 50210 100420 125525 251050 502100 1571573 3143146 6286292 7857865 15715730 31431460 39289325 78578650 157157300