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14666900 = 2252146669
BaseRepresentation
bin110111111100…
…110010010100
31000121011012112
4313330302110
512223320100
61242210152
7235444433
oct67746224
930534175
1014666900
118308506
124ab3958
133066b51
141d3b11a
15144ab35
hexdfcc94

14666900 has 18 divisors (see below), whose sum is σ = 31827390. Its totient is φ = 5866720.

The previous prime is 14666887. The next prime is 14666909. The reversal of 14666900 is 966641.

It can be written as a sum of positive squares in 3 ways, for example, as 1373584 + 13293316 = 1172^2 + 3646^2 .

It is a super-2 number, since 2×146669002 = 430235911220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14666909) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 73235 + ... + 73434.

Almost surely, 214666900 is an apocalyptic number.

14666900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14666900 is an abundant number, since it is smaller than the sum of its proper divisors (17160490).

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

14666900 is a wasteful number, since it uses less digits than its factorization.

14666900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146683 (or 146676 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 14666900 is about 3829.7388944940. The cubic root of 14666900 is about 244.7819801408.

The spelling of 14666900 in words is "fourteen million, six hundred sixty-six thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 146669 293338 586676 733345 1466690 2933380 3666725 7333450 14666900