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14321664 = 21133737
BaseRepresentation
bin110110101000…
…100000000000
3222221121122000
4312220200000
512131243124
61230544000
7232506060
oct66504000
928847560
1014321664
1180a2095
124968000
132c75976
141c8b3a0
1513cd6c9
hexda8800

14321664 has 192 divisors, whose sum is σ = 49795200. Its totient is φ = 3981312.

The previous prime is 14321653. The next prime is 14321677. The reversal of 14321664 is 46612341.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×143216642 = 410220119457792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 387054 + ... + 387090.

It is an arithmetic number, because the mean of its divisors is an integer number (259350).

Almost surely, 214321664 is an apocalyptic number.

14321664 is a gapful number since it is divisible by the number (14) 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 14321664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24897600).

14321664 is an abundant number, since it is smaller than the sum of its proper divisors (35473536).

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

14321664 is an equidigital number, since it uses as much as digits as its factorization.

14321664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 49 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 14321664 is about 3784.3974421300. The cubic root of 14321664 is about 242.8461150372.

The spelling of 14321664 in words is "fourteen million, three hundred twenty-one thousand, six hundred sixty-four".