Search a number
-
+
13048956 = 2232292431
BaseRepresentation
bin110001110001…
…110001111100
3220112221210200
4301301301330
511320031311
61143403500
7215625414
oct61616174
926487720
1013048956
117402968
124453590
13291b59b
141a39644
15122b556
hexc71c7c

13048956 has 54 divisors (see below), whose sum is σ = 34240752. Its totient is φ = 4189920.

The previous prime is 13048951. The next prime is 13048957. The reversal of 13048956 is 65984031.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 13048956.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13048951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 30061 + ... + 30491.

It is an arithmetic number, because the mean of its divisors is an integer number (634088).

Almost surely, 213048956 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 13048956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17120376).

13048956 is an abundant number, since it is smaller than the sum of its proper divisors (21191796).

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

13048956 is a wasteful number, since it uses less digits than its factorization.

13048956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 13048956 is about 3612.3338716126. Note that the first 3 decimals coincide. The cubic root of 13048956 is about 235.4282578607.

The spelling of 13048956 in words is "thirteen million, forty-eight thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 431 522 841 862 1044 1293 1682 1724 2523 2586 3364 3879 5046 5172 7569 7758 10092 12499 15138 15516 24998 30276 37497 49996 74994 112491 149988 224982 362471 449964 724942 1087413 1449884 2174826 3262239 4349652 6524478 13048956