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12251296 = 253491097
BaseRepresentation
bin101110101111…
…000010100000
3212001102121201
4232233002200
511114020141
61114330544
7206064031
oct56570240
925042551
1012251296
116a08642
124129a54
1326cc4b5
1418aca88
151120031
hexbaf0a0

12251296 has 24 divisors (see below), whose sum is σ = 24210900. Its totient is φ = 6102528.

The previous prime is 12251269. The next prime is 12251299. The reversal of 12251296 is 69215221.

It can be written as a sum of positive squares in 2 ways, for example, as 12250000 + 1296 = 3500^2 + 36^2 .

It is not an unprimeable number, because it can be changed into a prime (12251299) 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 3 ways as a sum of consecutive naturals, for example, 10620 + ... + 11716.

Almost surely, 212251296 is an apocalyptic number.

12251296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12251296 is a deficient number, since it is larger than the sum of its proper divisors (11959604).

12251296 is a wasteful number, since it uses less digits than its factorization.

12251296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1456 (or 1448 counting only the distinct ones).

The product of its digits is 2160, while the sum is 28.

The square root of 12251296 is about 3500.1851379606. The cubic root of 12251296 is about 230.5299437386.

It can be divided in two parts, 1225 and 1296, that multiplied together give a square (1587600 = 12602).

The spelling of 12251296 in words is "twelve million, two hundred fifty-one thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 32 349 698 1097 1396 2194 2792 4388 5584 8776 11168 17552 35104 382853 765706 1531412 3062824 6125648 12251296