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13729365 = 335137823
BaseRepresentation
bin110100010111…
…111001010101
3221211112011000
4310113321111
512003314430
61210133513
7224461206
oct64277125
927745130
1013729365
117828091
124721299
132ac91b0
141b755ad
151312e60
hexd17e55

13729365 has 32 divisors (see below), whose sum is σ = 26288640. Its totient is φ = 6758208.

The previous prime is 13729363. The next prime is 13729369. The reversal of 13729365 is 56392731.

It is not a de Polignac number, because 13729365 - 21 = 13729363 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13729363) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2157 + ... + 5666.

It is an arithmetic number, because the mean of its divisors is an integer number (821520).

Almost surely, 213729365 is an apocalyptic number.

13729365 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13729365 is a deficient number, since it is larger than the sum of its proper divisors (12559275).

13729365 is a wasteful number, since it uses less digits than its factorization.

13729365 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7850 (or 7844 counting only the distinct ones).

The product of its digits is 34020, while the sum is 36.

The square root of 13729365 is about 3705.3157760169. The cubic root of 13729365 is about 239.4510892780.

The spelling of 13729365 in words is "thirteen million, seven hundred twenty-nine thousand, three hundred sixty-five".

Divisors: 1 3 5 9 13 15 27 39 45 65 117 135 195 351 585 1755 7823 23469 39115 70407 101699 117345 211221 305097 352035 508495 915291 1056105 1525485 2745873 4576455 13729365