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410013396 = 223213876097
BaseRepresentation
bin11000011100000…
…100111011010100
31001120111211122100
4120130010323110
51314430412041
6104404002100
713106025222
oct3034047324
91046454570
10410013396
111a0495151
12b5390330
1366c392a0
143c64db12
1525ee06b6
hex18704ed4

410013396 has 36 divisors (see below), whose sum is σ = 1116148852. Its totient is φ = 126157824.

The previous prime is 410013379. The next prime is 410013403. The reversal of 410013396 is 693310014.

It can be written as a sum of positive squares in 2 ways, for example, as 283450896 + 126562500 = 16836^2 + 11250^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×4100133962 = 336221969798905632, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 437581 + ... + 438516.

It is the magic constant of a 936 × 936 magic square.

Almost surely, 2410013396 is an apocalyptic number.

It is an amenable number.

410013396 is an abundant number, since it is smaller than the sum of its proper divisors (706135456).

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

410013396 is a wasteful number, since it uses less digits than its factorization.

410013396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876120 (or 876115 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 410013396 is about 20248.7875192566. The cubic root of 410013396 is about 742.9039749779.

The spelling of 410013396 in words is "four hundred ten million, thirteen thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 876097 1752194 2628291 3504388 5256582 7884873 10513164 11389261 15769746 22778522 31539492 34167783 45557044 68335566 102503349 136671132 205006698 410013396