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59316 = 2234943
BaseRepresentation
bin1110011110110100
310000100220
432132310
53344231
61134340
7334635
oct163664
9100326
1059316
1140624
122a3b0
1320cca
141788c
1512896
hexe7b4

59316 has 12 divisors (see below), whose sum is σ = 138432. Its totient is φ = 19768.

The previous prime is 59281. The next prime is 59333. The reversal of 59316 is 61395.

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

It is an Ulam number.

It is a plaindrome in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 59316.

It is an unprimeable number.

59316 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 3 ways as a sum of consecutive naturals, for example, 2460 + ... + 2483.

It is an arithmetic number, because the mean of its divisors is an integer number (11536).

259316 is an apocalyptic number.

It is an amenable number.

59316 is an abundant number, since it is smaller than the sum of its proper divisors (79116).

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 (69216).

59316 is a wasteful number, since it uses less digits than its factorization.

59316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4950 (or 4948 counting only the distinct ones).

The product of its digits is 810, while the sum is 24.

The square root of 59316 is about 243.5487630845. The cubic root of 59316 is about 38.9993425267. Note that the first 3 decimals are identical.

Adding to 59316 its sum of digits (24), we get a triangular number (59340 = T344).

The spelling of 59316 in words is "fifty-nine thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 12 4943 9886 14829 19772 29658 59316