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97132932 = 2235137687
BaseRepresentation
bin1011100101000…
…10000110000100
320202202212100000
411302202012010
5144331223212
613345521300
72256421251
oct562420604
9222685300
1097132932
114a913456
1228643230
131717b810
14cc86428
1587da1dc
hex5ca2184

97132932 has 72 divisors (see below), whose sum is σ = 274246336. Its totient is φ = 29883168.

The previous prime is 97132927. The next prime is 97132967. The reversal of 97132932 is 23923179.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8793 + ... + 16479.

Almost surely, 297132932 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 97132932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137123168).

97132932 is an abundant number, since it is smaller than the sum of its proper divisors (177113404).

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

97132932 is a wasteful number, since it uses less digits than its factorization.

97132932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7719 (or 7705 counting only the distinct ones).

The product of its digits is 20412, while the sum is 36.

The square root of 97132932 is about 9855.6040910743. The cubic root of 97132932 is about 459.6798844025.

The spelling of 97132932 in words is "ninety-seven million, one hundred thirty-two thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 243 324 351 468 486 702 972 1053 1404 2106 3159 4212 6318 7687 12636 15374 23061 30748 46122 69183 92244 99931 138366 199862 207549 276732 299793 399724 415098 599586 622647 830196 899379 1199172 1245294 1798758 1867941 2490588 2698137 3597516 3735882 5396274 7471764 8094411 10792548 16188822 24283233 32377644 48566466 97132932