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14868816 = 2431013067
BaseRepresentation
bin111000101110…
…000101010000
31000222102011220
4320232011100
512301300231
61250405040
7240245214
oct70560520
930872156
1014868816
118436186
124b90780
133107a21
141d90944
15148a896
hexe2e150

14868816 has 40 divisors (see below), whose sum is σ = 38804064. Its totient is φ = 4905600.

The previous prime is 14868803. The next prime is 14868817. The reversal of 14868816 is 61886841.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14868817) 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, 3315 + ... + 6381.

Almost surely, 214868816 is an apocalyptic number.

14868816 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 14868816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19402032).

14868816 is an abundant number, since it is smaller than the sum of its proper divisors (23935248).

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

14868816 is a wasteful number, since it uses less digits than its factorization.

14868816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3179 (or 3173 counting only the distinct ones).

The product of its digits is 73728, while the sum is 42.

The square root of 14868816 is about 3856.0103734300. The cubic root of 14868816 is about 245.9001511627.

The spelling of 14868816 in words is "fourteen million, eight hundred sixty-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 101 202 303 404 606 808 1212 1616 2424 3067 4848 6134 9201 12268 18402 24536 36804 49072 73608 147216 309767 619534 929301 1239068 1858602 2478136 3717204 4956272 7434408 14868816