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13364040 = 2335176551
BaseRepresentation
bin110010111110…
…101101001000
3221010222000110
4302332231020
511410122130
61154234320
7221410134
oct62765510
927128013
1013364040
1175a8668
1245859a0
1329cbb21
141abc3c4
15128eab0
hexcbeb48

13364040 has 64 divisors (see below), whose sum is σ = 42456960. Its totient is φ = 3353600.

The previous prime is 13364009. The next prime is 13364059. The reversal of 13364040 is 4046331.

It is a junction number, because it is equal to n+sod(n) for n = 13363998 and 13364016.

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 15 ways as a sum of consecutive naturals, for example, 1236 + ... + 5315.

It is an arithmetic number, because the mean of its divisors is an integer number (663390).

Almost surely, 213364040 is an apocalyptic number.

13364040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13364040 is an abundant number, since it is smaller than the sum of its proper divisors (29092920).

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

13364040 is a wasteful number, since it uses less digits than its factorization.

13364040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6582 (or 6578 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 13364040 is about 3655.6859821380. The cubic root of 13364040 is about 237.3081146316.

The spelling of 13364040 in words is "thirteen million, three hundred sixty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 2040 6551 13102 19653 26204 32755 39306 52408 65510 78612 98265 111367 131020 157224 196530 222734 262040 334101 393060 445468 556835 668202 786120 890936 1113670 1336404 1670505 2227340 2672808 3341010 4454680 6682020 13364040