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14964966 = 233972857
BaseRepresentation
bin111001000101…
…100011100110
31001011022002000
4321011203212
512312334331
61252430130
7241125432
oct71054346
931138060
1014964966
1184a1445
125018346
13313c713
141db79c2
1514a90e6
hexe458e6

14964966 has 32 divisors (see below), whose sum is σ = 33610080. Its totient is φ = 4935168.

The previous prime is 14964923. The next prime is 14964967. The reversal of 14964966 is 66946941.

14964966 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14964967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3810 + ... + 6666.

It is an arithmetic number, because the mean of its divisors is an integer number (1050315).

Almost surely, 214964966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14964966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16805040).

14964966 is an abundant number, since it is smaller than the sum of its proper divisors (18645114).

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

14964966 is a wasteful number, since it uses less digits than its factorization.

14964966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2965 (or 2959 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 14964966 is about 3868.4578322634. The cubic root of 14964966 is about 246.4290549275.

The spelling of 14964966 in words is "fourteen million, nine hundred sixty-four thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 54 97 194 291 582 873 1746 2619 2857 5238 5714 8571 17142 25713 51426 77139 154278 277129 554258 831387 1662774 2494161 4988322 7482483 14964966