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12753152 = 28311607
BaseRepresentation
bin110000101001…
…100100000000
3212222221000222
4300221210000
511231100102
61133202212
7213254126
oct60514400
925887028
1012753152
1172206a5
124330368
132846a59
14199d916
1511bdaa2
hexc29900

12753152 has 36 divisors (see below), whose sum is σ = 26294016. Its totient is φ = 6167040.

The previous prime is 12753131. The next prime is 12753157. The reversal of 12753152 is 25135721.

It is not an unprimeable number, because it can be changed into a prime (12753157) 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 3 ways as a sum of consecutive naturals, for example, 7133 + ... + 8739.

Almost surely, 212753152 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 12753152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13147008).

12753152 is an abundant number, since it is smaller than the sum of its proper divisors (13540864).

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

12753152 is an equidigital number, since it uses as much as digits as its factorization.

12753152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1654 (or 1640 counting only the distinct ones).

The product of its digits is 2100, while the sum is 26.

The square root of 12753152 is about 3571.1555552790. The cubic root of 12753152 is about 233.6356860475.

Adding to 12753152 its reverse (25135721), we get a palindrome (37888873).

The spelling of 12753152 in words is "twelve million, seven hundred fifty-three thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 496 992 1607 1984 3214 3968 6428 7936 12856 25712 49817 51424 99634 102848 199268 205696 398536 411392 797072 1594144 3188288 6376576 12753152