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13249665 = 32511132971
BaseRepresentation
bin110010100010…
…110010000001
3220221011010100
4302202302001
511342442130
61151553013
7220422522
oct62426201
926834110
1013249665
11752a740
12452b769
13298ba50
141a8c849
15126ac60
hexca2c81

13249665 has 96 divisors (see below), whose sum is σ = 28304640. Its totient is φ = 5644800.

The previous prime is 13249657. The next prime is 13249667. The reversal of 13249665 is 56694231.

It is a happy number.

It is not a de Polignac number, because 13249665 - 23 = 13249657 is a prime.

It is a super-2 number, since 2×132496652 = 351107245224450, which contains 22 as substring.

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

Its product of digits (38880) is a multiple of the sum of its prime factors (135).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13249667) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 186580 + ... + 186650.

It is an arithmetic number, because the mean of its divisors is an integer number (294840).

Almost surely, 213249665 is an apocalyptic number.

13249665 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13249665 is an abundant number, since it is smaller than the sum of its proper divisors (15054975).

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

13249665 is a wasteful number, since it uses less digits than its factorization.

13249665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 132 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 13249665 is about 3640.0089285605. The cubic root of 13249665 is about 236.6291802912.

The spelling of 13249665 in words is "thirteen million, two hundred forty-nine thousand, six hundred sixty-five".

Divisors: 1 3 5 9 11 13 15 29 33 39 45 55 65 71 87 99 117 143 145 165 195 213 261 319 355 377 429 435 495 585 639 715 781 923 957 1065 1131 1287 1305 1595 1885 2059 2145 2343 2769 2871 3195 3393 3905 4147 4615 4785 5655 6177 6435 7029 8307 10153 10295 11715 12441 13845 14355 16965 18531 20735 22649 26767 30459 30885 35145 37323 41535 50765 62205 67947 80301 91377 92655 113245 133835 152295 186615 203841 240903 294437 339735 401505 456885 883311 1019205 1204515 1472185 2649933 4416555 13249665