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14993064 = 2332533929
BaseRepresentation
bin111001001100…
…011010101000
31001012201121200
4321030122220
512314234224
61253204200
7241303362
oct71143250
931181550
1014993064
118510569
125030660
13314c448
141dc3d32
1514b25c9
hexe4c6a8

14993064 has 48 divisors (see below), whose sum is σ = 41382900. Its totient is φ = 4902144.

The previous prime is 14993063. The next prime is 14993089. The reversal of 14993064 is 46039941.

It can be written as a sum of positive squares in 2 ways, for example, as 14884164 + 108900 = 3858^2 + 330^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (14993063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1852 + ... + 5780.

Almost surely, 214993064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14993064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20691450).

14993064 is an abundant number, since it is smaller than the sum of its proper divisors (26389836).

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

14993064 is a wasteful number, since it uses less digits than its factorization.

14993064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3994 (or 3987 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 14993064 is about 3872.0878089217. The cubic root of 14993064 is about 246.5831890238.

The spelling of 14993064 in words is "fourteen million, nine hundred ninety-three thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 212 318 424 477 636 954 1272 1908 3816 3929 7858 11787 15716 23574 31432 35361 47148 70722 94296 141444 208237 282888 416474 624711 832948 1249422 1665896 1874133 2498844 3748266 4997688 7496532 14993064