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14110900 = 2252731933
BaseRepresentation
bin110101110101…
…000010110100
3222112220111221
4311311002310
512103022100
61222240124
7230640436
oct65650264
928486457
1014110900
117a68801
124886044
132c00a5b
141c34656
15138b01a
hexd750b4

14110900 has 36 divisors (see below), whose sum is σ = 31056172. Its totient is φ = 5564160.

The previous prime is 14110883. The next prime is 14110919. The reversal of 14110900 is 901141.

It is a happy number.

14110900 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 6 ways, for example, as 3364 + 14107536 = 58^2 + 3756^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6334 + ... + 8266.

Almost surely, 214110900 is an apocalyptic number.

14110900 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 14110900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15528086).

14110900 is an abundant number, since it is smaller than the sum of its proper divisors (16945272).

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

14110900 is a wasteful number, since it uses less digits than its factorization.

14110900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2020 (or 2013 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

The square root of 14110900 is about 3756.4477901337. The cubic root of 14110900 is about 241.6489457213.

The spelling of 14110900 in words is "fourteen million, one hundred ten thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 146 292 365 730 1460 1825 1933 3650 3866 7300 7732 9665 19330 38660 48325 96650 141109 193300 282218 564436 705545 1411090 2822180 3527725 7055450 14110900