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14601616 = 242931469
BaseRepresentation
bin110111101100…
…110110010000
31000110211122121
4313230312100
512214222431
61240544024
7235053211
oct67546620
930424577
1014601616
118273457
124a82014
133043213
141d21408
151436611
hexdecd90

14601616 has 20 divisors (see below), whose sum is σ = 29267100. Its totient is φ = 7048832.

The previous prime is 14601611. The next prime is 14601667. The reversal of 14601616 is 61610641.

It can be written as a sum of positive squares in 2 ways, for example, as 7290000 + 7311616 = 2700^2 + 2704^2 .

It is a super-2 number, since 2×146016162 = 426414379622912, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14601611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15271 + ... + 16198.

It is an arithmetic number, because the mean of its divisors is an integer number (1463355).

Almost surely, 214601616 is an apocalyptic number.

14601616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

14601616 is an abundant number, since it is smaller than the sum of its proper divisors (14665484).

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

14601616 is a wasteful number, since it uses less digits than its factorization.

14601616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31506 (or 31500 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 14601616 is about 3821.2060923222. The cubic root of 14601616 is about 244.4182560252.

The spelling of 14601616 in words is "fourteen million, six hundred one thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 29 58 116 232 464 31469 62938 125876 251752 503504 912601 1825202 3650404 7300808 14601616