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13386256 = 2413139463
BaseRepresentation
bin110011000100…
…001000010000
3221012002111021
4303010020100
511411330011
61154525224
7221531662
oct63041020
927162437
1013386256
117613324
124596814
132a08c80
141ac6532
151296471
hexcc4210

13386256 has 40 divisors (see below), whose sum is σ = 28192640. Its totient is φ = 6120576.

The previous prime is 13386239. The next prime is 13386257. The reversal of 13386256 is 65268331.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (13386257) 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 7 ways as a sum of consecutive naturals, for example, 28681 + ... + 29143.

It is an arithmetic number, because the mean of its divisors is an integer number (704816).

Almost surely, 213386256 is an apocalyptic number.

13386256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13386256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14096320).

13386256 is an abundant number, since it is smaller than the sum of its proper divisors (14806384).

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

13386256 is a wasteful number, since it uses less digits than its factorization.

13386256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 617 counting only the distinct ones).

The product of its digits is 25920, while the sum is 34.

The square root of 13386256 is about 3658.7232745864. The cubic root of 13386256 is about 237.4395399194.

The spelling of 13386256 in words is "thirteen million, three hundred eighty-six thousand, two hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 52 104 139 208 278 463 556 926 1112 1807 1852 2224 3614 3704 6019 7228 7408 12038 14456 24076 28912 48152 64357 96304 128714 257428 514856 836641 1029712 1673282 3346564 6693128 13386256