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59034040 = 235131071061
BaseRepresentation
bin1110000100110…
…0100110111000
311010002020110221
43201030212320
5110103042130
65505145424
71314531622
oct341144670
9133066427
1059034040
113036116a
121792b274
13c2cc3b0
147ba9c12
1552b187a
hex384c9b8

59034040 has 64 divisors (see below), whose sum is σ = 144516960. Its totient is φ = 21573120.

The previous prime is 59034011. The next prime is 59034061. The reversal of 59034040 is 4043095.

It is a junction number, because it is equal to n+sod(n) for n = 59033996 and 59034014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55110 + ... + 56170.

Almost surely, 259034040 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 59034040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72258480).

59034040 is an abundant number, since it is smaller than the sum of its proper divisors (85482920).

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

59034040 is a wasteful number, since it uses less digits than its factorization.

59034040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1192 (or 1188 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 59034040 is about 7683.3612436225. The cubic root of 59034040 is about 389.3744958929.

The spelling of 59034040 in words is "fifty-nine million, thirty-four thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 107 130 214 260 428 520 535 856 1061 1070 1391 2122 2140 2782 4244 4280 5305 5564 6955 8488 10610 11128 13793 13910 21220 27586 27820 42440 55172 55640 68965 110344 113527 137930 227054 275860 454108 551720 567635 908216 1135270 1475851 2270540 2951702 4541080 5903404 7379255 11806808 14758510 29517020 59034040