Search a number
-
+
13032993 = 319373613
BaseRepresentation
bin110001101101…
…111000100001
3220112010220110
4301231320201
511314023433
61143201533
7215531031
oct61557041
926463813
1013032993
1173a1976
1244462a9
13291423c
141a338c1
151226963
hexc6de21

13032993 has 16 divisors (see below), whose sum is σ = 18370880. Its totient is φ = 8195904.

The previous prime is 13032979. The next prime is 13033001. The reversal of 13032993 is 39923031.

13032993 is digitally balanced in base 2, base 3 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-13032993 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13032993.

It is not an unprimeable number, because it can be changed into a prime (13032953) 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, 20955 + ... + 21567.

It is an arithmetic number, because the mean of its divisors is an integer number (1148180).

Almost surely, 213032993 is an apocalyptic number.

It is an amenable number.

13032993 is a deficient number, since it is larger than the sum of its proper divisors (5337887).

13032993 is a wasteful number, since it uses less digits than its factorization.

13032993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008.

The product of its (nonzero) digits is 4374, while the sum is 30.

The square root of 13032993 is about 3610.1236820918. The cubic root of 13032993 is about 235.3322176159.

The spelling of 13032993 in words is "thirteen million, thirty-two thousand, nine hundred ninety-three".

Divisors: 1 3 19 57 373 613 1119 1839 7087 11647 21261 34941 228649 685947 4344331 13032993