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14137616 = 242930469
BaseRepresentation
bin110101111011…
…100100010000
3222121021011102
4311323210100
512104400431
61223003532
7231111353
oct65734420
928537142
1014137616
117a86889
1248995a8
132c0cc6c
141c4029a
151393dcb
hexd7b910

14137616 has 20 divisors (see below), whose sum is σ = 28337100. Its totient is φ = 6824832.

The previous prime is 14137573. The next prime is 14137621. The reversal of 14137616 is 61673141.

14137616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 7398400 + 6739216 = 2720^2 + 2596^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14771 + ... + 15698.

It is an arithmetic number, because the mean of its divisors is an integer number (1416855).

Almost surely, 214137616 is an apocalyptic number.

14137616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

14137616 is an abundant number, since it is smaller than the sum of its proper divisors (14199484).

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

14137616 is a wasteful number, since it uses less digits than its factorization.

14137616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30506 (or 30500 counting only the distinct ones).

The product of its digits is 3024, while the sum is 29.

The square root of 14137616 is about 3760.0021276590. The cubic root of 14137616 is about 241.8013532745.

It can be divided in two parts, 141376 and 16, that multiplied together give a square (2262016 = 15042).

The spelling of 14137616 in words is "fourteen million, one hundred thirty-seven thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 29 58 116 232 464 30469 60938 121876 243752 487504 883601 1767202 3534404 7068808 14137616