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413055060 = 2235111932939
BaseRepresentation
bin11000100111101…
…011100001010100
31001210020101000120
4120213223201110
51321220230220
6104553111540
713143624105
oct3047534124
91053211016
10413055060
111a2182420
12b63b85b0
13677628a2
143cc023ac
15263e1a40
hex189eb854

413055060 has 96 divisors (see below), whose sum is σ = 1328140800. Its totient is φ = 94861440.

The previous prime is 413055059. The next prime is 413055073. The reversal of 413055060 is 60550314.

It is a super-2 number, since 2×4130550602 = 341228965183207200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 413055060.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3930 + ... + 29009.

It is an arithmetic number, because the mean of its divisors is an integer number (13834800).

Almost surely, 2413055060 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 413055060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664070400).

413055060 is an abundant number, since it is smaller than the sum of its proper divisors (915085740).

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

413055060 is a wasteful number, since it uses less digits than its factorization.

413055060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32981 (or 32979 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 413055060 is about 20323.7560504942. The cubic root of 413055060 is about 744.7365162869.

The spelling of 413055060 in words is "four hundred thirteen million, fifty-five thousand, sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 19 20 22 30 33 38 44 55 57 60 66 76 95 110 114 132 165 190 209 220 228 285 330 380 418 570 627 660 836 1045 1140 1254 2090 2508 3135 4180 6270 12540 32939 65878 98817 131756 164695 197634 329390 362329 395268 494085 625841 658780 724658 988170 1086987 1251682 1449316 1811645 1877523 1976340 2173974 2503364 3129205 3623290 3755046 4347948 5434935 6258410 6884251 7246580 7510092 9387615 10869870 12516820 13768502 18775230 20652753 21739740 27537004 34421255 37550460 41305506 68842510 82611012 103263765 137685020 206527530 413055060