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14164065 = 34541853
BaseRepresentation
bin110110000010…
…000001100001
3222122121110000
4312002001201
512111222230
61223330213
7231251436
oct66020141
928577400
1014164065
117aa4743
1248b0969
132c1c006
141c49b8d
15139bb60
hexd82061

14164065 has 40 divisors (see below), whose sum is σ = 26040168. Its totient is φ = 7361280.

The previous prime is 14164049. The next prime is 14164099. The reversal of 14164065 is 56046141.

14164065 is a `hidden beast` number, since 14 + 1 + 640 + 6 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 746496 + 13417569 = 864^2 + 3663^2 .

It is not a de Polignac number, because 14164065 - 24 = 14164049 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16179 + ... + 17031.

Almost surely, 214164065 is an apocalyptic number.

14164065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14164065 is a deficient number, since it is larger than the sum of its proper divisors (11876103).

14164065 is an equidigital number, since it uses as much as digits as its factorization.

14164065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 14164065 is about 3763.5176364672. The cubic root of 14164065 is about 241.9520486465.

The spelling of 14164065 in words is "fourteen million, one hundred sixty-four thousand, sixty-five".

Divisors: 1 3 5 9 15 27 41 45 81 123 135 205 369 405 615 853 1107 1845 2559 3321 4265 5535 7677 12795 16605 23031 34973 38385 69093 104919 115155 174865 314757 345465 524595 944271 1573785 2832813 4721355 14164065