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12924224 = 26892269
BaseRepresentation
bin110001010011…
…010101000000
3220022121200222
4301103111000
511302033344
61141002212
7214565645
oct61232500
926277628
1012924224
117328185
1243b3368
1328a6891
141a05dcc
1512045ee
hexc53540

12924224 has 28 divisors (see below), whose sum is σ = 25946100. Its totient is φ = 6386688.

The previous prime is 12924221. The next prime is 12924257. The reversal of 12924224 is 42242921.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1364224 + 11560000 = 1168^2 + 3400^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12924193 and 12924202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12924221) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4562 + ... + 6830.

Almost surely, 212924224 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 12924224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12973050).

12924224 is an abundant number, since it is smaller than the sum of its proper divisors (13021876).

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

12924224 is an equidigital number, since it uses as much as digits as its factorization.

12924224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2370 (or 2360 counting only the distinct ones).

The product of its digits is 2304, while the sum is 26.

The square root of 12924224 is about 3595.0276772231. The cubic root of 12924224 is about 234.6757199216.

The spelling of 12924224 in words is "twelve million, nine hundred twenty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 89 178 356 712 1424 2269 2848 4538 5696 9076 18152 36304 72608 145216 201941 403882 807764 1615528 3231056 6462112 12924224