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12938256 = 243289849
BaseRepresentation
bin110001010110…
…110000010000
3220100022221200
4301112300100
511303011011
61141151200
7214654602
oct61266020
926308850
1012938256
117337781
1243bb500
1328b0096
141a0b172
151208856
hexc56c10

12938256 has 30 divisors (see below), whose sum is σ = 36209550. Its totient is φ = 4312704.

The previous prime is 12938249. The next prime is 12938273. The reversal of 12938256 is 65283921.

It can be written as a sum of positive squares in only one way, i.e., 11289600 + 1648656 = 3360^2 + 1284^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 12938256.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 44781 + ... + 45068.

It is an arithmetic number, because the mean of its divisors is an integer number (1206985).

Almost surely, 212938256 is an apocalyptic number.

12938256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12938256 is an abundant number, since it is smaller than the sum of its proper divisors (23271294).

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

12938256 is a wasteful number, since it uses less digits than its factorization.

12938256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89863 (or 89854 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 12938256 is about 3596.9787322140. The cubic root of 12938256 is about 234.7606193755.

The spelling of 12938256 in words is "twelve million, nine hundred thirty-eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 89849 179698 269547 359396 539094 718792 808641 1078188 1437584 1617282 2156376 3234564 4312752 6469128 12938256