Search a number
-
+
13055424 = 26397701
BaseRepresentation
bin110001110011…
…010111000000
3220120021200020
4301303113000
511320233144
61143453440
7215653314
oct61632700
926507606
1013055424
117407808
124457280
132921505
141a3bb44
15122d419
hexc735c0

13055424 has 56 divisors (see below), whose sum is σ = 34948368. Its totient is φ = 4300800.

The previous prime is 13055417. The next prime is 13055431. The reversal of 13055424 is 42455031.

It is an interprime number because it is at equal distance from previous prime (13055417) and next prime (13055431).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 13055394 and 13055403.

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 7 ways as a sum of consecutive naturals, for example, 18274 + ... + 18974.

It is an arithmetic number, because the mean of its divisors is an integer number (624078).

Almost surely, 213055424 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 13055424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17474184).

13055424 is an abundant number, since it is smaller than the sum of its proper divisors (21892944).

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

13055424 is an equidigital number, since it uses as much as digits as its factorization.

13055424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 13055424 is about 3613.2290267848. The cubic root of 13055424 is about 235.4671498213.

The spelling of 13055424 in words is "thirteen million, fifty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 97 192 194 291 388 582 701 776 1164 1402 1552 2103 2328 2804 3104 4206 4656 5608 6208 8412 9312 11216 16824 18624 22432 33648 44864 67296 67997 134592 135994 203991 271988 407982 543976 815964 1087952 1631928 2175904 3263856 4351808 6527712 13055424