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157198976 = 2711971151
BaseRepresentation
bin10010101111010…
…10101010000000
3101221210112110022
421113222222000
5310220331401
623333153012
73616112024
oct1127525200
9357715408
10157198976
1180809a10
124478b768
132674c85c
1416c40384
15dc0271b
hex95eaa80

157198976 has 64 divisors (see below), whose sum is σ = 345461760. Its totient is φ = 70656000.

The previous prime is 157198969. The next prime is 157198999. The reversal of 157198976 is 679891751.

It is a tau number, because it is divible by the number of its divisors (64).

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, 136001 + ... + 137151.

It is an arithmetic number, because the mean of its divisors is an integer number (5397840).

Almost surely, 2157198976 is an apocalyptic number.

157198976 is a gapful number since it is divisible by the number (16) 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 157198976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172730880).

157198976 is an abundant number, since it is smaller than the sum of its proper divisors (188262784).

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

157198976 is a wasteful number, since it uses less digits than its factorization.

157198976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1273 (or 1261 counting only the distinct ones).

The product of its digits is 952560, while the sum is 53.

The square root of 157198976 is about 12537.9015788129. The cubic root of 157198976 is about 539.6968760580.

The spelling of 157198976 in words is "one hundred fifty-seven million, one hundred ninety-eight thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 97 128 176 194 352 388 704 776 1067 1151 1408 1552 2134 2302 3104 4268 4604 6208 8536 9208 12416 12661 17072 18416 25322 34144 36832 50644 68288 73664 101288 111647 136576 147328 202576 223294 405152 446588 810304 893176 1228117 1620608 1786352 2456234 3572704 4912468 7145408 9824936 14290816 19649872 39299744 78599488 157198976