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59113120 = 2551133587
BaseRepresentation
bin1110000101111…
…1111010100000
311010020020221211
43201133322200
5110113104440
65510555504
71315311313
oct341377240
9133206854
1059113120
1130405620
1217968b94
13c3293a1
147bca97a
1552c9eea
hex385fea0

59113120 has 48 divisors (see below), whose sum is σ = 152355168. Its totient is φ = 21495040.

The previous prime is 59113111. The next prime is 59113141. The reversal of 59113120 is 2131195.

It is a super-2 number, since 2×591131202 = 6988721912268800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 59113091 and 59113100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15034 + ... + 18553.

It is an arithmetic number, because the mean of its divisors is an integer number (3174066).

Almost surely, 259113120 is an apocalyptic number.

It is an amenable number.

59113120 is an abundant number, since it is smaller than the sum of its proper divisors (93242048).

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

59113120 is a wasteful number, since it uses less digits than its factorization.

59113120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33613 (or 33605 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 22.

The square root of 59113120 is about 7688.5057065726. The cubic root of 59113120 is about 389.5482826108.

The spelling of 59113120 in words is "fifty-nine million, one hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 33587 67174 134348 167935 268696 335870 369457 537392 671740 738914 1074784 1343480 1477828 1847285 2686960 2955656 3694570 5373920 5911312 7389140 11822624 14778280 29556560 59113120