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413010104 = 231317792957
BaseRepresentation
bin11000100111100…
…000100010111000
31001210011002100112
4120213200202320
51321212310404
6104552123452
713143346043
oct3047404270
91053132315
10413010104
111a2151671
12b6396588
13677482a0
143cbcdc5a
15263d356e
hex189e08b8

413010104 has 64 divisors (see below), whose sum is σ = 894499200. Its totient is φ = 177076224.

The previous prime is 413010067. The next prime is 413010127. The reversal of 413010104 is 401010314.

It is a happy number.

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, 138194 + ... + 141150.

It is an arithmetic number, because the mean of its divisors is an integer number (13976550).

Almost surely, 2413010104 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 413010104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447249600).

413010104 is an abundant number, since it is smaller than the sum of its proper divisors (481489096).

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

413010104 is a wasteful number, since it uses less digits than its factorization.

413010104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3072 (or 3068 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 413010104 is about 20322.6500240495. The cubic root of 413010104 is about 744.7094968144.

Adding to 413010104 its reverse (401010314), we get a palindrome (814020418).

The spelling of 413010104 in words is "four hundred thirteen million, ten thousand, one hundred four".

Divisors: 1 2 4 8 13 17 26 34 52 68 79 104 136 158 221 316 442 632 884 1027 1343 1768 2054 2686 2957 4108 5372 5914 8216 10744 11828 17459 23656 34918 38441 50269 69836 76882 100538 139672 153764 201076 233603 307528 402152 467206 653497 934412 1306994 1868824 2613988 3036839 3971251 5227976 6073678 7942502 12147356 15885004 24294712 31770008 51626263 103252526 206505052 413010104