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59124 = 22313379
BaseRepresentation
bin1110011011110100
310000002210
432123310
53342444
61133420
7334242
oct163364
9100083
1059124
114046a
122a270
1320bb0
1417792
15127b9
hexe6f4

59124 has 24 divisors (see below), whose sum is σ = 148960. Its totient is φ = 18144.

The previous prime is 59123. The next prime is 59141. The reversal of 59124 is 42195.

It is a self number, because there is not a number n which added to its sum of digits gives 59124.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34 + ... + 345.

259124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 59124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74480).

59124 is an abundant number, since it is smaller than the sum of its proper divisors (89836).

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

59124 is a wasteful number, since it uses less digits than its factorization.

59124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 397 counting only the distinct ones).

The product of its digits is 360, while the sum is 21.

The square root of 59124 is about 243.1542720168. The cubic root of 59124 is about 38.9572180438.

The spelling of 59124 in words is "fifty-nine thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 379 758 1137 1516 2274 4548 4927 9854 14781 19708 29562 59124