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97032 = 23313311
BaseRepresentation
bin10111101100001000
311221002210
4113230020
511101112
62025120
7552615
oct275410
9157083
1097032
11669a1
12481a0
1335220
142750c
151db3c
hex17b08

97032 has 32 divisors (see below), whose sum is σ = 262080. Its totient is φ = 29760.

The previous prime is 97021. The next prime is 97039. The reversal of 97032 is 23079.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 97032.

It is not an unprimeable number, because it can be changed into a prime (97039) by changing a digit.

97032 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 157 + ... + 467.

It is an arithmetic number, because the mean of its divisors is an integer number (8190).

297032 is an apocalyptic number.

It is a pronic number, being equal to 311×312.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131040).

97032 is an abundant number, since it is smaller than the sum of its proper divisors (165048).

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

97032 is a wasteful number, since it uses less digits than its factorization.

97032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 21.

The square root of 97032 is about 311.4995987156. The cubic root of 97032 is about 45.9520609586.

The spelling of 97032 in words is "ninety-seven thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 311 312 622 933 1244 1866 2488 3732 4043 7464 8086 12129 16172 24258 32344 48516 97032