Search a number
-
+
13481052 = 22313103839
BaseRepresentation
bin110011011011…
…010001011100
3221100220112020
4303123101130
511422343202
61200540140
7222405234
oct63332134
927326466
1013481052
117678572
124621650
132a40170
141b0ccc4
1512b45bc
hexcdb45c

13481052 has 48 divisors (see below), whose sum is σ = 34245120. Its totient is φ = 4102848.

The previous prime is 13481047. The next prime is 13481053. The reversal of 13481052 is 25018431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13481053) 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 15 ways as a sum of consecutive naturals, for example, 15649 + ... + 16487.

It is an arithmetic number, because the mean of its divisors is an integer number (713440).

Almost surely, 213481052 is an apocalyptic number.

13481052 is a gapful number since it is divisible by the number (12) 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 13481052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17122560).

13481052 is an abundant number, since it is smaller than the sum of its proper divisors (20764068).

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

13481052 is a wasteful number, since it uses less digits than its factorization.

13481052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 13481052 is about 3671.6552125710. The cubic root of 13481052 is about 237.9987053575.

Subtracting from 13481052 its sum of digits (24), we obtain a triangular number (13481028 = T5192).

Adding to 13481052 its reverse (25018431), we get a palindrome (38499483).

The spelling of 13481052 in words is "thirteen million, four hundred eighty-one thousand, fifty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 103 156 206 309 412 618 839 1236 1339 1678 2517 2678 3356 4017 5034 5356 8034 10068 10907 16068 21814 32721 43628 65442 86417 130884 172834 259251 345668 518502 1037004 1123421 2246842 3370263 4493684 6740526 13481052