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13995765 = 3257157283
BaseRepresentation
bin110101011000…
…111011110101
3222100001120200
4311120323311
512040331030
61215551113
7226650660
oct65307365
928301520
1013995765
11799a253
12482b499
132b90524
141c046d7
151366d60
hexd58ef5

13995765 has 48 divisors (see below), whose sum is σ = 28000128. Its totient is φ = 6334848.

The previous prime is 13995757. The next prime is 13995791. The reversal of 13995765 is 56759931.

It is not a de Polignac number, because 13995765 - 23 = 13995757 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 13995765.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49314 + ... + 49596.

It is an arithmetic number, because the mean of its divisors is an integer number (583336).

Almost surely, 213995765 is an apocalyptic number.

13995765 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13995765 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

13995765 is a wasteful number, since it uses less digits than its factorization.

13995765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 455 counting only the distinct ones).

The product of its digits is 255150, while the sum is 45.

The square root of 13995765 is about 3741.0914182896. The cubic root of 13995765 is about 240.9899216988.

The spelling of 13995765 in words is "thirteen million, nine hundred ninety-five thousand, seven hundred sixty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 157 283 315 471 785 849 1099 1413 1415 1981 2355 2547 3297 4245 5495 5943 7065 9891 9905 12735 16485 17829 29715 44431 49455 89145 133293 222155 311017 399879 666465 933051 1555085 1999395 2799153 4665255 13995765