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13360815 = 3351323331
BaseRepresentation
bin110010111101…
…111010101111
3221010210121000
4302331322233
511410021230
61154211343
7221364546
oct62757257
927123530
1013360815
1175a61a6
124583b53
1329ca510
141abb15d
15128db60
hexcbdeaf

13360815 has 64 divisors (see below), whose sum is σ = 26772480. Its totient is φ = 6272640.

The previous prime is 13360813. The next prime is 13360843. The reversal of 13360815 is 51806331.

It is not a de Polignac number, because 13360815 - 21 = 13360813 is a prime.

It is a super-2 number, since 2×133608152 = 357022754928450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13360813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40200 + ... + 40530.

It is an arithmetic number, because the mean of its divisors is an integer number (418320).

Almost surely, 213360815 is an apocalyptic number.

13360815 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13360815 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

13360815 is a wasteful number, since it uses less digits than its factorization.

13360815 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 13360815 is about 3655.2448618389. The cubic root of 13360815 is about 237.2890240911.

The spelling of 13360815 in words is "thirteen million, three hundred sixty thousand, eight hundred fifteen".

Divisors: 1 3 5 9 13 15 23 27 39 45 65 69 115 117 135 195 207 299 331 345 351 585 621 897 993 1035 1495 1655 1755 2691 2979 3105 4303 4485 4965 7613 8073 8937 12909 13455 14895 21515 22839 38065 38727 40365 44685 64545 68517 98969 114195 116181 193635 205551 296907 342585 494845 580905 890721 1027755 1484535 2672163 4453605 13360815