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13061124 = 2232418849
BaseRepresentation
bin110001110100…
…110000000100
3220120120111100
4301310300010
511320423444
61143540100
7216006036
oct61646004
926516440
1013061124
11741101a
12445a630
132923c9b
141a3dc56
15122ee69
hexc74c04

13061124 has 36 divisors (see below), whose sum is σ = 33824700. Its totient is φ = 4247040.

The previous prime is 13061123. The next prime is 13061131. The reversal of 13061124 is 42116031.

It is a happy number.

13061124 is a `hidden beast` number, since 1 + 30 + 611 + 24 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 230400 + 12830724 = 480^2 + 3582^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13061097 and 13061106.

It is not an unprimeable number, because it can be changed into a prime (13061123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2949 + ... + 5900.

It is an arithmetic number, because the mean of its divisors is an integer number (939575).

Almost surely, 213061124 is an apocalyptic number.

It is an amenable number.

13061124 is an abundant number, since it is smaller than the sum of its proper divisors (20763576).

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

13061124 is a wasteful number, since it uses less digits than its factorization.

13061124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8900 (or 8895 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 13061124 is about 3614.0177088664. The cubic root of 13061124 is about 235.5014131658.

Adding to 13061124 its reverse (42116031), we get a palindrome (55177155).

The spelling of 13061124 in words is "thirteen million, sixty-one thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 8849 17698 26547 35396 53094 79641 106188 159282 318564 362809 725618 1088427 1451236 2176854 3265281 4353708 6530562 13061124