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14008896 = 263311267
BaseRepresentation
bin110101011100…
…001001000000
3222100201121000
4311130021000
512041241041
61220132000
7230034156
oct65341100
928321530
1014008896
1179a9100
124837000
132b964b5
141c093d6
15136abb6
hexd5c240

14008896 has 168 divisors, whose sum is σ = 45943520. Its totient is φ = 4181760.

The previous prime is 14008879. The next prime is 14008933. The reversal of 14008896 is 69880041.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 14008896.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 209055 + ... + 209121.

Almost surely, 214008896 is an apocalyptic number.

14008896 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 14008896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22971760).

14008896 is an abundant number, since it is smaller than the sum of its proper divisors (31934624).

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

14008896 is a wasteful number, since it uses less digits than its factorization.

14008896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 14008896 is about 3742.8459759921. The cubic root of 14008896 is about 241.0652647172.

It can be divided in two parts, 1400 and 8896, that added together give a triangular number (10296 = T143).

The spelling of 14008896 in words is "fourteen million, eight thousand, eight hundred ninety-six".