Search a number
-
+
13034007 = 33768963
BaseRepresentation
bin110001101110…
…001000010111
3220112012022000
4301232020113
511314042012
61143210343
7215534010
oct61561027
926465260
1013034007
1173a2708
1244469b3
13291483c
141a34007
151226ddc
hexc6e217

13034007 has 16 divisors (see below), whose sum is σ = 22068480. Its totient is φ = 7447896.

The previous prime is 13033957. The next prime is 13034009. The reversal of 13034007 is 70043031.

13034007 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13034007 - 28 = 13033751 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13034009) 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, 34293 + ... + 34670.

It is an arithmetic number, because the mean of its divisors is an integer number (1379280).

Almost surely, 213034007 is an apocalyptic number.

13034007 is a deficient number, since it is larger than the sum of its proper divisors (9034473).

13034007 is an equidigital number, since it uses as much as digits as its factorization.

13034007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68979 (or 68973 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 13034007 is about 3610.2641177620. The cubic root of 13034007 is about 235.3383206059.

Adding to 13034007 its reverse (70043031), we get a palindrome (83077038).

The spelling of 13034007 in words is "thirteen million, thirty-four thousand, seven".

Divisors: 1 3 7 9 21 27 63 189 68963 206889 482741 620667 1448223 1862001 4344669 13034007