Search a number
-
+
13007808 = 2632112053
BaseRepresentation
bin110001100111…
…101111000000
3220110212100200
4301213233000
511312222213
61142445200
7215364432
oct61475700
926425320
1013007808
117384a60
124433800
132905938
141a28652
15121e273
hexc67bc0

13007808 has 84 divisors (see below), whose sum is σ = 40693848. Its totient is φ = 3939840.

The previous prime is 13007791. The next prime is 13007821. The reversal of 13007808 is 80870031.

13007808 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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5310 + ... + 7362.

Almost surely, 213007808 is an apocalyptic number.

13007808 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13007808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20346924).

13007808 is an abundant number, since it is smaller than the sum of its proper divisors (27686040).

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

13007808 is a wasteful number, since it uses less digits than its factorization.

13007808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2082 (or 2069 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 13007808 is about 3606.6338877130. The cubic root of 13007808 is about 235.1805342768.

Adding to 13007808 its reverse (80870031), we get a palindrome (93877839).

The spelling of 13007808 in words is "thirteen million, seven thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 132 144 176 192 198 264 288 352 396 528 576 704 792 1056 1584 2053 2112 3168 4106 6159 6336 8212 12318 16424 18477 22583 24636 32848 36954 45166 49272 65696 67749 73908 90332 98544 131392 135498 147816 180664 197088 203247 270996 295632 361328 394176 406494 541992 591264 722656 812988 1083984 1182528 1445312 1625976 2167968 3251952 4335936 6503904 13007808