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14106900 = 2235259797
BaseRepresentation
bin110101110100…
…000100010100
3222112201000210
4311310010110
512102410100
61222205420
7230622663
oct65640424
928481023
1014106900
117a657a5
124883870
132bcbca2
141c32dda
151389c50
hexd74114

14106900 has 72 divisors (see below), whose sum is σ = 41559840. Its totient is φ = 3693440.

The previous prime is 14106899. The next prime is 14106901. The reversal of 14106900 is 960141.

It is an interprime number because it is at equal distance from previous prime (14106899) and next prime (14106901).

It is a super-2 number, since 2×141069002 = 398009255220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14106901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17302 + ... + 18098.

It is an arithmetic number, because the mean of its divisors is an integer number (577220).

Almost surely, 214106900 is an apocalyptic number.

14106900 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 14106900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20779920).

14106900 is an abundant number, since it is smaller than the sum of its proper divisors (27452940).

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

14106900 is a wasteful number, since it uses less digits than its factorization.

14106900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 873 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 14106900 is about 3755.9153345090. The cubic root of 14106900 is about 241.6261102506.

The spelling of 14106900 in words is "fourteen million, one hundred six thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 59 60 75 100 118 150 177 236 295 300 354 590 708 797 885 1180 1475 1594 1770 2391 2950 3188 3540 3985 4425 4782 5900 7970 8850 9564 11955 15940 17700 19925 23910 39850 47023 47820 59775 79700 94046 119550 141069 188092 235115 239100 282138 470230 564276 705345 940460 1175575 1410690 2351150 2821380 3526725 4702300 7053450 14106900