Search a number
-
+
13032964 = 227465463
BaseRepresentation
bin110001101101…
…111000000100
3220112010212101
4301231320010
511314023324
61143201444
7215530660
oct61557004
926463771
1013032964
1173a194a
124446284
132914219
141a338a0
151226944
hexc6de04

13032964 has 12 divisors (see below), whose sum is σ = 26065984. Its totient is φ = 5585544.

The previous prime is 13032953. The next prime is 13032979. The reversal of 13032964 is 46923031.

13032964 is an admirable number.

It is a Harshad number since it is a multiple of its sum of digits (28), and also a Moran number because the ratio is a prime number: 465463 = 13032964 / (1 + 3 + 0 + 3 + 2 + 9 + 6 + 4).

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 232704 + ... + 232759.

Almost surely, 213032964 is an apocalyptic number.

13032964 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13032964 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

13032964 is a wasteful number, since it uses less digits than its factorization.

13032964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465474 (or 465472 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

The square root of 13032964 is about 3610.1196656067. The cubic root of 13032964 is about 235.3320430681.

Adding to 13032964 its reverse (46923031), we get a palindrome (59955995).

The spelling of 13032964 in words is "thirteen million, thirty-two thousand, nine hundred sixty-four".

Divisors: 1 2 4 7 14 28 465463 930926 1861852 3258241 6516482 13032964