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15304068 = 22321353617
BaseRepresentation
bin111010011000…
…010110000100
31001210112020100
4322120112010
512404212233
61304004100
7244040163
oct72302604
931715210
1015304068
11870319a
125160630
13322ab80
1420653da
151524813
hexe98584

15304068 has 72 divisors (see below), whose sum is σ = 42515928. Its totient is φ = 4612608.

The previous prime is 15304067. The next prime is 15304127. The reversal of 15304068 is 86040351.

It can be written as a sum of positive squares in 4 ways, for example, as 324 + 15303744 = 18^2 + 3912^2 .

It is not an unprimeable number, because it can be changed into a prime (15304067) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24496 + ... + 25112.

It is an arithmetic number, because the mean of its divisors is an integer number (590499).

Almost surely, 215304068 is an apocalyptic number.

15304068 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 15304068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21257964).

15304068 is an abundant number, since it is smaller than the sum of its proper divisors (27211860).

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

15304068 is a wasteful number, since it uses less digits than its factorization.

15304068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 15304068 is about 3912.0414108238. The cubic root of 15304068 is about 248.2765082758.

The spelling of 15304068 in words is "fifteen million, three hundred four thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 53 78 106 117 156 159 212 234 318 468 477 617 636 689 954 1234 1378 1851 1908 2067 2468 2756 3702 4134 5553 6201 7404 8021 8268 11106 12402 16042 22212 24063 24804 32084 32701 48126 65402 72189 96252 98103 130804 144378 196206 288756 294309 392412 425113 588618 850226 1177236 1275339 1700452 2550678 3826017 5101356 7652034 15304068