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157297960 = 235191391489
BaseRepresentation
bin10010110000000…
…10110100101000
3101221222120020101
421120002310220
5310232013320
623335235144
73620003431
oct1130026450
9357876211
10157297960
1180877316
1244818ab4
1326785921
1416c68488
15dc21c0a
hex9602d28

157297960 has 64 divisors (see below), whose sum is σ = 375480000. Its totient is φ = 59139072.

The previous prime is 157297951. The next prime is 157297963. The reversal of 157297960 is 69792751.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 157297960.

It is not an unprimeable number, because it can be changed into a prime (157297963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104896 + ... + 106384.

It is an arithmetic number, because the mean of its divisors is an integer number (5866875).

Almost surely, 2157297960 is an apocalyptic number.

157297960 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 157297960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187740000).

157297960 is an abundant number, since it is smaller than the sum of its proper divisors (218182040).

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

157297960 is a wasteful number, since it uses less digits than its factorization.

157297960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1658 (or 1654 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 46.

The square root of 157297960 is about 12541.8483486287. The cubic root of 157297960 is about 539.8101298637.

The spelling of 157297960 in words is "one hundred fifty-seven million, two hundred ninety-seven thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 139 152 190 278 380 556 695 760 1112 1390 1489 2641 2780 2978 5282 5560 5956 7445 10564 11912 13205 14890 21128 26410 28291 29780 52820 56582 59560 105640 113164 141455 206971 226328 282910 413942 565820 827884 1034855 1131640 1655768 2069710 3932449 4139420 7864898 8278840 15729796 19662245 31459592 39324490 78648980 157297960