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12138256 = 24132672
BaseRepresentation
bin101110010011…
…011100010000
3211211200120001
4232103130100
511101411011
61112055344
7205113334
oct56233420
924750501
1012138256
116940719
124094554
13268cc00
14187d7c4
1510eb7c1
hexb93710

12138256 has 45 divisors (see below), whose sum is σ = 25851861. Its totient is φ = 5518656.

The previous prime is 12138251. The next prime is 12138263. The reversal of 12138256 is 65283121.

The square root of 12138256 is 3484.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1795600 + 10342656 = 1340^2 + 3216^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12138251) 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 8 ways as a sum of consecutive naturals, for example, 181135 + ... + 181201.

Almost surely, 212138256 is an apocalyptic number.

12138256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12138256 is the 3484-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12138256

12138256 is an abundant number, since it is smaller than the sum of its proper divisors (13713605).

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

12138256 is an equidigital number, since it uses as much as digits as its factorization.

12138256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 82 counting only the distinct ones).

The product of its digits is 2880, while the sum is 28.

The cubic root of 12138256 is about 229.8187355688.

The spelling of 12138256 in words is "twelve million, one hundred thirty-eight thousand, two hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 52 67 104 134 169 208 268 338 536 676 871 1072 1352 1742 2704 3484 4489 6968 8978 11323 13936 17956 22646 35912 45292 58357 71824 90584 116714 181168 233428 466856 758641 933712 1517282 3034564 6069128 12138256