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59031 = 327937
BaseRepresentation
bin1110011010010111
32222222100
432122113
53342111
61133143
7334050
oct163227
988870
1059031
1140395
122a1b3
1320b3b
1417727
1512756
hexe697

59031 has 12 divisors (see below), whose sum is σ = 97552. Its totient is φ = 33696.

The previous prime is 59029. The next prime is 59051. The reversal of 59031 is 13095.

It is not a de Polignac number, because 59031 - 21 = 59029 is a prime.

It is a super-2 number, since 2×590312 = 6969317922, which contains 22 as substring.

It is a nialpdrome in base 3 and base 9.

It is a junction number, because it is equal to n+sod(n) for n = 58995 and 59013.

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 59031.

It is not an unprimeable number, because it can be changed into a prime (59011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 406 + ... + 531.

259031 is an apocalyptic number.

59031 is a deficient number, since it is larger than the sum of its proper divisors (38521).

59031 is a wasteful number, since it uses less digits than its factorization.

59031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 950 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 59031 is about 242.9629601400. The cubic root of 59031 is about 38.9367812072.

Adding to 59031 its sum of digits (18), we get a 10-th power (59049 = 310).

The spelling of 59031 in words is "fifty-nine thousand, thirty-one".

Divisors: 1 3 7 9 21 63 937 2811 6559 8433 19677 59031