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59916 = 2234993
BaseRepresentation
bin1110101000001100
310001012010
432220030
53404131
61141220
7336453
oct165014
9101163
1059916
114101a
122a810
132136c
1417b9a
1512b46
hexea0c

59916 has 12 divisors (see below), whose sum is σ = 139832. Its totient is φ = 19968.

The previous prime is 59887. The next prime is 59921. The reversal of 59916 is 61995.

It is a tau number, because it is divible by the number of its divisors (12).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

59916 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2485 + ... + 2508.

259916 is an apocalyptic number.

It is an amenable number.

59916 is an abundant number, since it is smaller than the sum of its proper divisors (79916).

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 (69916).

59916 is a wasteful number, since it uses less digits than its factorization.

59916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5000 (or 4998 counting only the distinct ones).

The product of its digits is 2430, while the sum is 30.

The square root of 59916 is about 244.7774499418. Note that the first 3 decimals coincide. The cubic root of 59916 is about 39.1303984970.

The spelling of 59916 in words is "fifty-nine thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 12 4993 9986 14979 19972 29958 59916