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97125132 = 223134314479
BaseRepresentation
bin1011100101000…
…00001100001100
320202202110122010
411302200030030
5144331001012
613345421220
72256356436
oct562401414
9222673563
1097125132
114a908605
122863a810
13171780c0
14cc83656
1587d7c3c
hex5ca030c

97125132 has 48 divisors (see below), whose sum is σ = 249751040. Its totient is φ = 29187648.

The previous prime is 97125107. The next prime is 97125173. The reversal of 97125132 is 23152179.

It is a self number, because there is not a number n which added to its sum of digits gives 97125132.

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, 532 + ... + 13947.

Almost surely, 297125132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97125132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124875520).

97125132 is an abundant number, since it is smaller than the sum of its proper divisors (152625908).

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

97125132 is a wasteful number, since it uses less digits than its factorization.

97125132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14542 (or 14540 counting only the distinct ones).

The product of its digits is 3780, while the sum is 30.

The square root of 97125132 is about 9855.2083691823. The cubic root of 97125132 is about 459.6675796190.

The spelling of 97125132 in words is "ninety-seven million, one hundred twenty-five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 43 52 78 86 129 156 172 258 516 559 1118 1677 2236 3354 6708 14479 28958 43437 57916 86874 173748 188227 376454 564681 622597 752908 1129362 1245194 1867791 2258724 2490388 3735582 7471164 8093761 16187522 24281283 32375044 48562566 97125132