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97132 = 2273469
BaseRepresentation
bin10111101101101100
311221020111
4113231230
511102012
62025404
7553120
oct275554
9157214
1097132
1166a82
1248264
1335299
1427580
151dba7
hex17b6c

97132 has 12 divisors (see below), whose sum is σ = 194320. Its totient is φ = 41616.

The previous prime is 97127. The next prime is 97151. The reversal of 97132 is 23179.

97132 is an admirable number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1707 + ... + 1762.

297132 is an apocalyptic number.

It is an amenable number.

97132 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97160).

97132 is a wasteful number, since it uses less digits than its factorization.

97132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3480 (or 3478 counting only the distinct ones).

The product of its digits is 378, while the sum is 22.

The square root of 97132 is about 311.6600712315. The cubic root of 97132 is about 45.9678414173.

The spelling of 97132 in words is "ninety-seven thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 3469 6938 13876 24283 48566 97132