Search a number
-
+
13049504 = 2513219127
BaseRepresentation
bin110001110001…
…111010100000
3220112222112222
4301301322200
511320041004
61143410212
7215630126
oct61617240
926488488
1013049504
117403316
124453968
13291b900
141a39916
15122b7be
hexc71ea0

13049504 has 72 divisors (see below), whose sum is σ = 29514240. Its totient is φ = 5660928.

The previous prime is 13049497. The next prime is 13049551. The reversal of 13049504 is 40594031.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (26).

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 11 ways as a sum of consecutive naturals, for example, 102689 + ... + 102815.

It is an arithmetic number, because the mean of its divisors is an integer number (409920).

Almost surely, 213049504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13049504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14757120).

13049504 is an abundant number, since it is smaller than the sum of its proper divisors (16464736).

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

13049504 is a wasteful number, since it uses less digits than its factorization.

13049504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 13049504 is about 3612.4097220553. The cubic root of 13049504 is about 235.4315534725.

The spelling of 13049504 in words is "thirteen million, forty-nine thousand, five hundred four".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 76 104 127 152 169 208 247 254 304 338 416 494 508 608 676 988 1016 1352 1651 1976 2032 2413 2704 3211 3302 3952 4064 4826 5408 6422 6604 7904 9652 12844 13208 19304 21463 25688 26416 31369 38608 42926 51376 52832 62738 77216 85852 102752 125476 171704 250952 343408 407797 501904 686816 815594 1003808 1631188 3262376 6524752 13049504