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157107920 = 2453753077
BaseRepresentation
bin10010101110101…
…00011011010000
3101221121220112212
421113110123100
5310204423140
623331211252
73615252404
oct1127243320
9357556485
10157107920
1180757562
1244746b28
132671a288
1416c19104
15dbd5765
hex95d46d0

157107920 has 40 divisors (see below), whose sum is σ = 375155304. Its totient is φ = 61143552.

The previous prime is 157107919. The next prime is 157107949. The reversal of 157107920 is 29701751.

It can be written as a sum of positive squares in 4 ways, for example, as 7974976 + 149132944 = 2824^2 + 12212^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23579 + ... + 29498.

Almost surely, 2157107920 is an apocalyptic number.

157107920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

157107920 is an abundant number, since it is smaller than the sum of its proper divisors (218047384).

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

157107920 is a wasteful number, since it uses less digits than its factorization.

157107920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53127 (or 53121 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 32.

The square root of 157107920 is about 12534.2698231688. The cubic root of 157107920 is about 539.5926511843.

The spelling of 157107920 in words is "one hundred fifty-seven million, one hundred seven thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1480 2960 53077 106154 212308 265385 424616 530770 849232 1061540 1963849 2123080 3927698 4246160 7855396 9819245 15710792 19638490 31421584 39276980 78553960 157107920