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31059 = 3271729
BaseRepresentation
bin111100101010011
31120121100
413211103
51443214
6355443
7156360
oct74523
946540
1031059
1121376
1215b83
13111a2
14b467
159309
hex7953

31059 has 24 divisors (see below), whose sum is σ = 56160. Its totient is φ = 16128.

The previous prime is 31051. The next prime is 31063. The reversal of 31059 is 95013.

It is not a de Polignac number, because 31059 - 23 = 31051 is a prime.

It is a super-2 number, since 2×310592 = 1929322962, which contains 22 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 31059.

It is not an unprimeable number, because it can be changed into a prime (31051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1057 + ... + 1085.

It is an arithmetic number, because the mean of its divisors is an integer number (2340).

231059 is an apocalyptic number.

31059 is a deficient number, since it is larger than the sum of its proper divisors (25101).

31059 is a wasteful number, since it uses less digits than its factorization.

31059 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 56 counting only the distinct ones).

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

The square root of 31059 is about 176.2356377127. The cubic root of 31059 is about 31.4337230831.

The spelling of 31059 in words is "thirty-one thousand, fifty-nine".

Divisors: 1 3 7 9 17 21 29 51 63 87 119 153 203 261 357 493 609 1071 1479 1827 3451 4437 10353 31059