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13000008 = 2337223347
BaseRepresentation
bin110001100101…
…110101001000
3220110110122210
4301211311020
511312000013
61142345120
7215332620
oct61456510
926413583
1013000008
11737a10a
12442b1a0
132902218
141a25880
15121bcc3
hexc65d48

13000008 has 64 divisors (see below), whose sum is σ = 37416960. Its totient is φ = 3686976.

The previous prime is 12999997. The next prime is 13000027. The reversal of 13000008 is 80000031.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12999957 and 13000002.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 37291 + ... + 37637.

It is an arithmetic number, because the mean of its divisors is an integer number (584640).

Almost surely, 213000008 is an apocalyptic number.

13000008 is the 2082-nd octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13000008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18708480).

13000008 is an abundant number, since it is smaller than the sum of its proper divisors (24416952).

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

13000008 is a wasteful number, since it uses less digits than its factorization.

13000008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 13000008 is about 3605.5523848642. The cubic root of 13000008 is about 235.1335170046.

Adding to 13000008 its reverse (80000031), we get a palindrome (93000039).

The spelling of 13000008 in words is "thirteen million, eight", and thus it is an aban number and an uban number.

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 223 347 446 669 694 892 1041 1338 1388 1561 1784 2082 2429 2676 2776 3122 4164 4683 4858 5352 6244 7287 8328 9366 9716 12488 14574 18732 19432 29148 37464 58296 77381 154762 232143 309524 464286 541667 619048 928572 1083334 1625001 1857144 2166668 3250002 4333336 6500004 13000008