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14200816 = 2471031231
BaseRepresentation
bin110110001010…
…111111110000
3222201110212011
4312022333300
512113411231
61224212304
7231463540
oct66127760
928643764
1014200816
11801a313
12490a094
132c32966
141c59320
1513a79b1
hexd8aff0

14200816 has 40 divisors (see below), whose sum is σ = 31775744. Its totient is φ = 6022080.

The previous prime is 14200811. The next prime is 14200817. The reversal of 14200816 is 61800241.

14200816 is nontrivially palindromic in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14200811) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10921 + ... + 12151.

Almost surely, 214200816 is an apocalyptic number.

14200816 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 14200816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15887872).

14200816 is an abundant number, since it is smaller than the sum of its proper divisors (17574928).

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

14200816 is a wasteful number, since it uses less digits than its factorization.

14200816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1349 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 14200816 is about 3768.3970066860. The cubic root of 14200816 is about 242.1611294021.

The spelling of 14200816 in words is "fourteen million, two hundred thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 56 103 112 206 412 721 824 1231 1442 1648 2462 2884 4924 5768 8617 9848 11536 17234 19696 34468 68936 126793 137872 253586 507172 887551 1014344 1775102 2028688 3550204 7100408 14200816