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157198160 = 2457280711
BaseRepresentation
bin10010101111010…
…10011101010000
3101221210111100002
421113222131100
5310220320120
623333145132
73616106450
oct1127523520
9357714302
10157198160
1180809339
124478b1a8
132674c382
1416c3dd60
15dc02375
hex95ea750

157198160 has 40 divisors (see below), whose sum is σ = 417699456. Its totient is φ = 53896320.

The previous prime is 157198121. The next prime is 157198193. The reversal of 157198160 is 61891751.

157198160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×1571981602 = 49422523014771200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 139796 + ... + 140915.

Almost surely, 2157198160 is an apocalyptic number.

157198160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

157198160 is an abundant number, since it is smaller than the sum of its proper divisors (260501296).

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

157198160 is a wasteful number, since it uses less digits than its factorization.

157198160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280731 (or 280725 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 38.

The square root of 157198160 is about 12537.8690374401. The cubic root of 157198160 is about 539.6959422237.

The spelling of 157198160 in words is "one hundred fifty-seven million, one hundred ninety-eight thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 280711 561422 1122844 1403555 1964977 2245688 2807110 3929954 4491376 5614220 7859908 9824885 11228440 15719816 19649770 22456880 31439632 39299540 78599080 157198160