Search a number
-
+
157680192 = 2632928319
BaseRepresentation
bin10010110011000…
…00001001000000
3101222200222120010
421121200021000
5310331231232
623351344520
73623155005
oct1131401100
9358628503
10157680192
118100850a
1244982140
132688a8b7
1416d278ac
15dc9a0cc
hex9660240

157680192 has 56 divisors (see below), whose sum is σ = 431596800. Its totient is φ = 50745856.

The previous prime is 157680191. The next prime is 157680217. The reversal of 157680192 is 291086751.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 157680192.

It is not an unprimeable number, because it can be changed into a prime (157680191) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8592 + ... + 19727.

Almost surely, 2157680192 is an apocalyptic number.

157680192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

157680192 is an abundant number, since it is smaller than the sum of its proper divisors (273916608).

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

157680192 is a wasteful number, since it uses less digits than its factorization.

157680192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28363 (or 28353 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 39.

The square root of 157680192 is about 12557.0773669672. The cubic root of 157680192 is about 540.2470200438.

The spelling of 157680192 in words is "one hundred fifty-seven million, six hundred eighty thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 174 192 232 348 464 696 928 1392 1856 2784 5568 28319 56638 84957 113276 169914 226552 339828 453104 679656 821251 906208 1359312 1642502 1812416 2463753 2718624 3285004 4927506 5437248 6570008 9855012 13140016 19710024 26280032 39420048 52560064 78840096 157680192