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93680 = 2451171
BaseRepresentation
bin10110110111110000
311202111122
4112313300
510444210
62001412
7540056
oct266760
9152448
1093680
1164424
1246268
1333842
14261d6
151cb55
hex16df0

93680 has 20 divisors (see below), whose sum is σ = 217992. Its totient is φ = 37440.

The previous prime is 93637. The next prime is 93683. The reversal of 93680 is 8639.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (20).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93683) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 506 + ... + 665.

293680 is an apocalyptic number.

It is an amenable number.

93680 is an abundant number, since it is smaller than the sum of its proper divisors (124312).

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 (108996).

93680 is a wasteful number, since it uses less digits than its factorization.

93680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 93680 is about 306.0718869808. The cubic root of 93680 is about 45.4167054774.

The spelling of 93680 in words is "ninety-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1171 2342 4684 5855 9368 11710 18736 23420 46840 93680