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13940496 = 2432131739
BaseRepresentation
bin110101001011…
…011100010000
3222020020202200
4311023130100
512032043441
61214443200
7226330563
oct65133420
928206680
1013940496
117961779
124803500
132b7131b
141bcc4da
1513557b6
hexd4b710

13940496 has 60 divisors (see below), whose sum is σ = 39365040. Its totient is φ = 4605120.

The previous prime is 13940491. The next prime is 13940497. The reversal of 13940496 is 69404931.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13940496.

It is not an unprimeable number, because it can be changed into a prime (13940491) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 18495 + ... + 19233.

It is an arithmetic number, because the mean of its divisors is an integer number (656084).

Almost surely, 213940496 is an apocalyptic number.

13940496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13940496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19682520).

13940496 is an abundant number, since it is smaller than the sum of its proper divisors (25424544).

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

13940496 is a wasteful number, since it uses less digits than its factorization.

13940496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 13940496 is about 3733.6973632045. The cubic root of 13940496 is about 240.6722817303.

The spelling of 13940496 in words is "thirteen million, nine hundred forty thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 131 144 262 393 524 739 786 1048 1179 1478 1572 2096 2217 2358 2956 3144 4434 4716 5912 6288 6651 8868 9432 11824 13302 17736 18864 26604 35472 53208 96809 106416 193618 290427 387236 580854 774472 871281 1161708 1548944 1742562 2323416 3485124 4646832 6970248 13940496