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13132992 = 26373937
BaseRepresentation
bin110010000110…
…010011000000
3220201020002010
4302012103000
511330223432
61145252520
7216425415
oct62062300
926636063
1013132992
117460014
124494140
13294a902
141a5c10c
1512463cc
hexc864c0

13132992 has 56 divisors (see below), whose sum is σ = 35261296. Its totient is φ = 4313088.

The previous prime is 13132991. The next prime is 13133011. The reversal of 13132992 is 29923131.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (13132991) 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, 13548 + ... + 14484.

It is an arithmetic number, because the mean of its divisors is an integer number (629666).

Almost surely, 213132992 is an apocalyptic number.

13132992 is a gapful number since it is divisible by the number (12) 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 13132992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17630648).

13132992 is an abundant number, since it is smaller than the sum of its proper divisors (22128304).

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

13132992 is an equidigital number, since it uses as much as digits as its factorization.

13132992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1025 (or 1015 counting only the distinct ones).

The product of its digits is 2916, while the sum is 30.

The square root of 13132992 is about 3623.9470194803. The cubic root of 13132992 is about 235.9325671556.

The spelling of 13132992 in words is "thirteen million, one hundred thirty-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 73 96 146 192 219 292 438 584 876 937 1168 1752 1874 2336 2811 3504 3748 4672 5622 7008 7496 11244 14016 14992 22488 29984 44976 59968 68401 89952 136802 179904 205203 273604 410406 547208 820812 1094416 1641624 2188832 3283248 4377664 6566496 13132992