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59112 = 2332821
BaseRepresentation
bin1110011011101000
310000002100
432123220
53342422
61133400
7334224
oct163350
9100070
1059112
1140459
122a260
1320ba1
1417784
15127ac
hexe6e8

59112 has 24 divisors (see below), whose sum is σ = 160290. Its totient is φ = 19680.

The previous prime is 59107. The next prime is 59113. The reversal of 59112 is 21195.

It can be written as a sum of positive squares in only one way, i.e., 54756 + 4356 = 234^2 + 66^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (59113) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 339 + ... + 482.

259112 is an apocalyptic number.

It is an amenable number.

59112 is an abundant number, since it is smaller than the sum of its proper divisors (101178).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

59112 is a wasteful number, since it uses less digits than its factorization.

59112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833 (or 826 counting only the distinct ones).

The product of its digits is 90, while the sum is 18.

The square root of 59112 is about 243.1295950723. The cubic root of 59112 is about 38.9545822374.

It can be divided in two parts, 59 and 112, that added together give a palindrome (171).

The spelling of 59112 in words is "fifty-nine thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 821 1642 2463 3284 4926 6568 7389 9852 14778 19704 29556 59112