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157002160 = 2457491571
BaseRepresentation
bin10010101101110…
…10100110110000
3101221102112110211
421112322212300
5310143032120
623325033504
73614332150
oct1126724660
9357375424
10157002160
1180695057
12446b5894
13266b10b3
1416bcc760
15dbb425a
hex95ba9b0

157002160 has 80 divisors (see below), whose sum is σ = 418758912. Its totient is φ = 53625600.

The previous prime is 157002133. The next prime is 157002199. The reversal of 157002160 is 61200751.

157002160 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 (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 274675 + ... + 275245.

Almost surely, 2157002160 is an apocalyptic number.

157002160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157002160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209379456).

157002160 is an abundant number, since it is smaller than the sum of its proper divisors (261756752).

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

157002160 is a wasteful number, since it uses less digits than its factorization.

157002160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 22.

The square root of 157002160 is about 12530.0502792287. The cubic root of 157002160 is about 539.4715451979.

The spelling of 157002160 in words is "one hundred fifty-seven million, two thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 491 560 571 982 1142 1964 2284 2455 2855 3437 3928 3997 4568 4910 5710 6874 7856 7994 9136 9820 11420 13748 15988 17185 19640 19985 22840 27496 31976 34370 39280 39970 45680 54992 63952 68740 79940 137480 159880 274960 280361 319760 560722 1121444 1401805 1962527 2242888 2803610 3925054 4485776 5607220 7850108 9812635 11214440 15700216 19625270 22428880 31400432 39250540 78501080 157002160