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15113268 = 223253892
BaseRepresentation
bin111001101001…
…110000110100
31001102211111200
4321221300310
512332111033
61255532500
7242314002
oct71516064
931384450
1015113268
118592905
12508a130
133192081
142015a72
1514d8013
hexe69c34

15113268 has 54 divisors (see below), whose sum is σ = 39366054. Its totient is φ = 4887168.

The previous prime is 15113261. The next prime is 15113269. The reversal of 15113268 is 86231151.

15113268 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 459684 + 14653584 = 678^2 + 3828^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15113261) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 169768 + ... + 169856.

It is an arithmetic number, because the mean of its divisors is an integer number (729001).

Almost surely, 215113268 is an apocalyptic number.

15113268 is a gapful number since it is divisible by the number (18) 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 15113268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19683027).

15113268 is an abundant number, since it is smaller than the sum of its proper divisors (24252786).

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

15113268 is a wasteful number, since it uses less digits than its factorization.

15113268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 147 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 15113268 is about 3887.5786808758. The cubic root of 15113268 is about 247.2404134762.

The spelling of 15113268 in words is "fifteen million, one hundred thirteen thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 53 89 106 159 178 212 267 318 356 477 534 636 801 954 1068 1602 1908 3204 4717 7921 9434 14151 15842 18868 23763 28302 31684 42453 47526 56604 71289 84906 95052 142578 169812 285156 419813 839626 1259439 1679252 2518878 3778317 5037756 7556634 15113268