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59140 = 2252957
BaseRepresentation
bin1110011100000100
310000010101
432130010
53343030
61133444
7334264
oct163404
9100111
1059140
1140484
122a284
1320bc3
14177a4
15127ca
hexe704

59140 has 12 divisors (see below), whose sum is σ = 124236. Its totient is φ = 23648.

The previous prime is 59123. The next prime is 59141. The reversal of 59140 is 4195.

It can be written as a sum of positive squares in 2 ways, for example, as 15876 + 43264 = 126^2 + 208^2 .

It is a plaindrome in base 6.

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (59141) by changing a digit.

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, 1459 + ... + 1498.

It is an arithmetic number, because the mean of its divisors is an integer number (10353).

259140 is an apocalyptic number.

It is an amenable number.

59140 is an abundant number, since it is smaller than the sum of its proper divisors (65096).

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 (62118).

59140 is a wasteful number, since it uses less digits than its factorization.

59140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2966 (or 2964 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 59140 is about 243.1871707142. The cubic root of 59140 is about 38.9607318975.

Subtracting from 59140 its reverse (4195), we obtain a palindrome (54945).

The spelling of 59140 in words is "fifty-nine thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 2957 5914 11828 14785 29570 59140