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13000832 = 27132601
BaseRepresentation
bin110001100110…
…000010000000
3220110111210022
4301212002000
511312011312
61142353012
7215335205
oct61460200
926414708
1013000832
11737a799
12442b768
132902700
141a25cac
15121c172
hexc66080

13000832 has 48 divisors (see below), whose sum is σ = 28092330. Its totient is φ = 5990400.

The previous prime is 13000831. The next prime is 13000849. The reversal of 13000832 is 23800031.

It can be written as a sum of positive squares in 3 ways, for example, as 8904256 + 4096576 = 2984^2 + 2024^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 13000832.

It is not an unprimeable number, because it can be changed into a prime (13000831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21332 + ... + 21932.

Almost surely, 213000832 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 13000832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14046165).

13000832 is an abundant number, since it is smaller than the sum of its proper divisors (15091498).

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

13000832 is an equidigital number, since it uses as much as digits as its factorization.

13000832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 13000832 is about 3605.6666512588. Note that the first 4 decimals coincide. The cubic root of 13000832 is about 235.1384848457.

Adding to 13000832 its reverse (23800031), we get a palindrome (36800863).

The spelling of 13000832 in words is "thirteen million, eight hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 338 416 601 676 832 1202 1352 1664 2404 2704 4808 5408 7813 9616 10816 15626 19232 21632 31252 38464 62504 76928 101569 125008 203138 250016 406276 500032 812552 1000064 1625104 3250208 6500416 13000832