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13232640 = 29351723
BaseRepresentation
bin110010011110…
…101000000000
3220220021202210
4302132220000
511341421030
61151342120
7220322061
oct62365000
926807683
1013232640
117518973
124521940
132984085
141a86568
151265bb0
hexc9ea00

13232640 has 80 divisors (see below), whose sum is σ = 42327648. Its totient is φ = 3526656.

The previous prime is 13232633. The next prime is 13232641. The reversal of 13232640 is 4623231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×132326402 = 350205522739200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13232641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6819 + ... + 8541.

Almost surely, 213232640 is an apocalyptic number.

13232640 is a gapful number since it is divisible by the number (10) 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 13232640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21163824).

13232640 is an abundant number, since it is smaller than the sum of its proper divisors (29095008).

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

13232640 is an equidigital number, since it uses as much as digits as its factorization.

13232640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1749 (or 1733 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 13232640 is about 3637.6695836758. The cubic root of 13232640 is about 236.5277855633.

Adding to 13232640 its reverse (4623231), we get a palindrome (17855871).

The spelling of 13232640 in words is "thirteen million, two hundred thirty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1280 1536 1723 1920 2560 3446 3840 5169 6892 7680 8615 10338 13784 17230 20676 25845 27568 34460 41352 51690 55136 68920 82704 103380 110272 137840 165408 206760 220544 275680 330816 413520 441088 551360 661632 827040 882176 1102720 1323264 1654080 2205440 2646528 3308160 4410880 6616320 13232640