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14640084 = 2232537673
BaseRepresentation
bin110111110110…
…001111010100
31000112210102100
4313312033110
512221440314
61241442100
7235303314
oct67661724
930483370
1014640084
11829a348
124aa0330
133057894
141d31444
151442c09
hexdf63d4

14640084 has 36 divisors (see below), whose sum is σ = 37710036. Its totient is φ = 4787328.

The previous prime is 14640071. The next prime is 14640097. The reversal of 14640084 is 48004641.

14640084 is a `hidden beast` number, since 14 + 640 + 0 + 8 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (14640071) and next prime (14640097).

It can be written as a sum of positive squares in 2 ways, for example, as 9922500 + 4717584 = 3150^2 + 2172^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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, 1929 + ... + 5744.

It is an arithmetic number, because the mean of its divisors is an integer number (1047501).

Almost surely, 214640084 is an apocalyptic number.

It is an amenable number.

14640084 is an abundant number, since it is smaller than the sum of its proper divisors (23069952).

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

14640084 is a wasteful number, since it uses less digits than its factorization.

14640084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7736 (or 7731 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 14640084 is about 3826.2362708019. The cubic root of 14640084 is about 244.6327080136.

The spelling of 14640084 in words is "fourteen million, six hundred forty thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1908 7673 15346 23019 30692 46038 69057 92076 138114 276228 406669 813338 1220007 1626676 2440014 3660021 4880028 7320042 14640084