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13966144 = 26474643
BaseRepresentation
bin110101010001…
…101101000000
3222021112221121
4311101231000
512033404034
61215202024
7226465423
oct65215500
928245847
1013966144
117979a75
124816314
132b7cbba
141bd79ba
15135d1b4
hexd51b40

13966144 has 28 divisors (see below), whose sum is σ = 28309824. Its totient is φ = 6833024.

The previous prime is 13966103. The next prime is 13966153. The reversal of 13966144 is 44166931.

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, 687 + ... + 5329.

Almost surely, 213966144 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 13966144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14154912).

13966144 is an abundant number, since it is smaller than the sum of its proper divisors (14343680).

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

13966144 is an equidigital number, since it uses as much as digits as its factorization.

13966144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4702 (or 4692 counting only the distinct ones).

The product of its digits is 15552, while the sum is 34.

The square root of 13966144 is about 3737.1304499576. The cubic root of 13966144 is about 240.8197891780.

The spelling of 13966144 in words is "thirteen million, nine hundred sixty-six thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 47 64 94 188 376 752 1504 3008 4643 9286 18572 37144 74288 148576 218221 297152 436442 872884 1745768 3491536 6983072 13966144