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13966336 = 21023593
BaseRepresentation
bin110101010001…
…110000000000
3222021120012201
4311101300000
512033410321
61215202544
7226466116
oct65216000
928246181
1013966336
11797a12a
124816454
132b80007
141bd7ab6
15135d291
hexd51c00

13966336 has 44 divisors (see below), whose sum is σ = 29182032. Its totient is φ = 6668288.

The previous prime is 13966321. The next prime is 13966369. The reversal of 13966336 is 63366931.

It is a junction number, because it is equal to n+sod(n) for n = 13966295 and 13966304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23256 + ... + 23848.

It is an arithmetic number, because the mean of its divisors is an integer number (663228).

Almost surely, 213966336 is an apocalyptic number.

13966336 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 13966336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14591016).

13966336 is an abundant number, since it is smaller than the sum of its proper divisors (15215696).

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

13966336 is an equidigital number, since it uses as much as digits as its factorization.

13966336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 618 counting only the distinct ones).

The product of its digits is 52488, while the sum is 37.

The square root of 13966336 is about 3737.1561380280. The cubic root of 13966336 is about 240.8208927322.

The spelling of 13966336 in words is "thirteen million, nine hundred sixty-six thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 512 593 736 1024 1186 1472 2372 2944 4744 5888 9488 11776 13639 18976 23552 27278 37952 54556 75904 109112 151808 218224 303616 436448 607232 872896 1745792 3491584 6983168 13966336