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13426688 = 21311149
BaseRepresentation
bin110011001110…
…000000000000
3221021010221202
4303032000000
511414123223
61155440332
7222060602
oct63160000
927233852
1013426688
117640740
1245b60a8
132a214b2
141ad7172
1512a3428
hexcce000

13426688 has 56 divisors (see below), whose sum is σ = 29489400. Its totient is φ = 6062080.

The previous prime is 13426669. The next prime is 13426709. The reversal of 13426688 is 88662431.

It is a happy number.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 90038 + ... + 90186.

Almost surely, 213426688 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 13426688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14744700).

13426688 is an abundant number, since it is smaller than the sum of its proper divisors (16062712).

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

13426688 is an equidigital number, since it uses as much as digits as its factorization.

13426688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 162 counting only the distinct ones).

The product of its digits is 55296, while the sum is 38.

The square root of 13426688 is about 3664.2445333247. The cubic root of 13426688 is about 237.6783546707.

The spelling of 13426688 in words is "thirteen million, four hundred twenty-six thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 149 176 256 298 352 512 596 704 1024 1192 1408 1639 2048 2384 2816 3278 4096 4768 5632 6556 8192 9536 11264 13112 19072 22528 26224 38144 45056 52448 76288 90112 104896 152576 209792 305152 419584 610304 839168 1220608 1678336 3356672 6713344 13426688