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13249764 = 22331119587
BaseRepresentation
bin110010100010…
…110011100100
3220221011021000
4302202303210
511342443024
61151553300
7220423023
oct62426344
926834230
1013249764
11752a820
12452b830
13298bac8
141a8c8ba
15126acc9
hexca2ce4

13249764 has 96 divisors (see below), whose sum is σ = 39513600. Its totient is φ = 3797280.

The previous prime is 13249757. The next prime is 13249787. The reversal of 13249764 is 46794231.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22279 + ... + 22865.

It is an arithmetic number, because the mean of its divisors is an integer number (411600).

Almost surely, 213249764 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13249764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19756800).

13249764 is an abundant number, since it is smaller than the sum of its proper divisors (26263836).

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

13249764 is a wasteful number, since it uses less digits than its factorization.

13249764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 622 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 13249764 is about 3640.0225274028. The cubic root of 13249764 is about 236.6297696452.

The spelling of 13249764 in words is "thirteen million, two hundred forty-nine thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 27 33 36 38 44 54 57 66 76 99 108 114 132 171 198 209 228 297 342 396 418 513 587 594 627 684 836 1026 1174 1188 1254 1761 1881 2052 2348 2508 3522 3762 5283 5643 6457 7044 7524 10566 11153 11286 12914 15849 19371 21132 22306 22572 25828 31698 33459 38742 44612 58113 63396 66918 77484 100377 116226 122683 133836 174339 200754 232452 245366 301131 348678 368049 401508 490732 602262 697356 736098 1104147 1204524 1472196 2208294 3312441 4416588 6624882 13249764