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13054965 = 3571189127
BaseRepresentation
bin110001110011…
…001111110101
3220120021001020
4301303033311
511320224330
61143451353
7215652060
oct61631765
926507036
1013054965
117407430
124456b59
132921241
141a3b8d7
15122d210
hexc733f5

13054965 has 64 divisors (see below), whose sum is σ = 26542080. Its totient is φ = 5322240.

The previous prime is 13054949. The next prime is 13054973. The reversal of 13054965 is 56945031.

It is a happy number.

It is not a de Polignac number, because 13054965 - 24 = 13054949 is a prime.

It is a super-2 number, since 2×130549652 = 340864222302450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 102732 + ... + 102858.

It is an arithmetic number, because the mean of its divisors is an integer number (414720).

Almost surely, 213054965 is an apocalyptic number.

13054965 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13054965 is an abundant number, since it is smaller than the sum of its proper divisors (13487115).

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

13054965 is a wasteful number, since it uses less digits than its factorization.

13054965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242.

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 13054965 is about 3613.1655096328. The cubic root of 13054965 is about 235.4643902865.

13054965 divided by its sum of digits (33) gives a triangular number (395605 = T889).

Adding to 13054965 its reverse (56945031), we get a palindrome (69999996).

The spelling of 13054965 in words is "thirteen million, fifty-four thousand, nine hundred sixty-five".

Divisors: 1 3 5 7 11 15 21 33 35 55 77 89 105 127 165 231 267 381 385 445 623 635 889 979 1155 1335 1397 1869 1905 2667 2937 3115 4191 4445 4895 6853 6985 9345 9779 11303 13335 14685 20559 20955 29337 33909 34265 48895 56515 79121 102795 124333 146685 169545 237363 372999 395605 621665 870331 1186815 1864995 2610993 4351655 13054965