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13061120 = 21052551
BaseRepresentation
bin110001110100…
…110000000000
3220120120111012
4301310300000
511320423440
61143540052
7216006032
oct61646000
926516435
1013061120
117411016
12445a628
132923c97
141a3dc52
15122ee65
hexc74c00

13061120 has 44 divisors (see below), whose sum is σ = 31343664. Its totient is φ = 5222400.

The previous prime is 13061077. The next prime is 13061123. The reversal of 13061120 is 2116031.

It is a junction number, because it is equal to n+sod(n) for n = 13061095 and 13061104.

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 3 ways as a sum of consecutive naturals, for example, 3845 + ... + 6395.

It is an arithmetic number, because the mean of its divisors is an integer number (712356).

Almost surely, 213061120 is an apocalyptic number.

13061120 is a gapful number since it is divisible by the number (10) 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 13061120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15671832).

13061120 is an abundant number, since it is smaller than the sum of its proper divisors (18282544).

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

13061120 is an equidigital number, since it uses as much as digits as its factorization.

13061120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2576 (or 2558 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 13061120 is about 3614.0171554656. The cubic root of 13061120 is about 235.5013891249.

Adding to 13061120 its reverse (2116031), we get a palindrome (15177151).

The spelling of 13061120 in words is "thirteen million, sixty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2551 2560 5102 5120 10204 12755 20408 25510 40816 51020 81632 102040 163264 204080 326528 408160 653056 816320 1306112 1632640 2612224 3265280 6530560 13061120