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14641164 = 2232406699
BaseRepresentation
bin110111110110…
…100000001100
31000112211220100
4313312200030
512222004124
61241451100
7235306416
oct67664014
930484810
1014641164
1182a013a
124aa0a90
133058215
141d319b6
1514431c9
hexdf680c

14641164 has 18 divisors (see below), whose sum is σ = 37009700. Its totient is φ = 4880376.

The previous prime is 14641157. The next prime is 14641171. The reversal of 14641164 is 46114641.

14641164 is a `hidden beast` number, since 1 + 4 + 641 + 16 + 4 = 666.

14641164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14641157) and next prime (14641171).

It is a tau number, because it is divible by the number of its divisors (18).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 203314 + ... + 203385.

Almost surely, 214641164 is an apocalyptic number.

It is an amenable number.

14641164 is an abundant number, since it is smaller than the sum of its proper divisors (22368536).

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

14641164 is a wasteful number, since it uses less digits than its factorization.

14641164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406709 (or 406704 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 14641164 is about 3826.3773990551. The cubic root of 14641164 is about 244.6387233896.

It can be divided in two parts, 1464 and 1164, that added together give a triangular number (2628 = T72).

The spelling of 14641164 in words is "fourteen million, six hundred forty-one thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 406699 813398 1220097 1626796 2440194 3660291 4880388 7320582 14641164