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14584068 = 22323710949
BaseRepresentation
bin110111101000…
…100100000100
31000102221120200
4313220210010
512213142233
61240330500
7234651102
oct67504404
930387520
1014584068
118261254
124a73a30
133038235
141d18c72
151431313
hexde8904

14584068 has 36 divisors (see below), whose sum is σ = 37865100. Its totient is φ = 4729536.

The previous prime is 14584057. The next prime is 14584081. The reversal of 14584068 is 86048541.

14584068 is a `hidden beast` number, since 14 + 584 + 0 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6563844 + 8020224 = 2562^2 + 2832^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 4143 + ... + 6806.

Almost surely, 214584068 is an apocalyptic number.

14584068 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14584068 is an abundant number, since it is smaller than the sum of its proper divisors (23281032).

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

14584068 is a wasteful number, since it uses less digits than its factorization.

14584068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10996 (or 10991 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 14584068 is about 3818.9092683645. The cubic root of 14584068 is about 244.3203040615.

The spelling of 14584068 in words is "fourteen million, five hundred eighty-four thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 10949 21898 32847 43796 65694 98541 131388 197082 394164 405113 810226 1215339 1620452 2430678 3646017 4861356 7292034 14584068