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14016960 = 2632531157
BaseRepresentation
bin110101011110…
…000111000000
3222101010122200
4311132013000
512042020320
61220233200
7230066526
oct65360700
928333580
1014016960
117a04171
12483b800
132b9a079
141c0c316
15136d290
hexd5e1c0

14016960 has 168 divisors, whose sum is σ = 50084736. Its totient is φ = 3594240.

The previous prime is 14016931. The next prime is 14016971. The reversal of 14016960 is 6961041.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89202 + ... + 89358.

Almost surely, 214016960 is an apocalyptic number.

14016960 is a gapful number since it is divisible by the number (10) 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 14016960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25042368).

14016960 is an abundant number, since it is smaller than the sum of its proper divisors (36067776).

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

14016960 is a wasteful number, since it uses less digits than its factorization.

14016960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 14016960 is about 3743.9230761328. The cubic root of 14016960 is about 241.1115109837. Note that the first 3 decimals are identical.

The spelling of 14016960 in words is "fourteen million, sixteen thousand, nine hundred sixty".