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14309568 = 263372132
BaseRepresentation
bin110110100101…
…100011000000
3222221000001000
4312211203000
512130401233
61230412000
7232425600
oct66454300
928830030
1014309568
118093a99
124961000
132c70300
141c86c00
1513c9d13
hexda58c0

14309568 has 252 divisors, whose sum is σ = 52989480. Its totient is φ = 3773952.

The previous prime is 14309551. The next prime is 14309587. The reversal of 14309568 is 86590341.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (252).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1100730 + ... + 1100742.

Almost surely, 214309568 is an apocalyptic number.

14309568 is a gapful number since it is divisible by the number (18) 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 14309568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26494740).

14309568 is an abundant number, since it is smaller than the sum of its proper divisors (38679912).

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

14309568 is a wasteful number, since it uses less digits than its factorization.

14309568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 14309568 is about 3782.7989637304. The cubic root of 14309568 is about 242.7777269415. Note that the first 4 decimals are identical.

The spelling of 14309568 in words is "fourteen million, three hundred nine thousand, five hundred sixty-eight".