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13709565 = 3251717921
BaseRepresentation
bin110100010011…
…000011111101
3221210111222200
4310103003331
512002201230
61205502113
7224346402
oct64230375
927714880
1013709565
117814221
124711939
132ac018c
141b6c2a9
15130c160
hexd130fd

13709565 has 24 divisors (see below), whose sum is σ = 25162488. Its totient is φ = 6881280.

The previous prime is 13709557. The next prime is 13709569. The reversal of 13709565 is 56590731.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 248004 + 13461561 = 498^2 + 3669^2 .

It is not a de Polignac number, because 13709565 - 23 = 13709557 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13709569) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 8196 + ... + 9725.

It is an arithmetic number, because the mean of its divisors is an integer number (1048437).

Almost surely, 213709565 is an apocalyptic number.

13709565 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13709565 is a deficient number, since it is larger than the sum of its proper divisors (11452923).

13709565 is a wasteful number, since it uses less digits than its factorization.

13709565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17949 (or 17946 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The square root of 13709565 is about 3702.6429749572. The cubic root of 13709565 is about 239.3359246277.

The spelling of 13709565 in words is "thirteen million, seven hundred nine thousand, five hundred sixty-five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 765 17921 53763 89605 161289 268815 304657 806445 913971 1523285 2741913 4569855 13709565