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15130384 = 241971701
BaseRepresentation
bin111001101101…
…111100010000
31001110200222121
4321231330100
512333133014
61300144024
7242414623
oct71557420
931420877
1015130384
1185a4755
125098014
133199ab9
14201bdba
1514dd124
hexe6df10

15130384 has 40 divisors (see below), whose sum is σ = 31337280. Its totient is φ = 7056000.

The previous prime is 15130363. The next prime is 15130393. The reversal of 15130384 is 48303151.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 21234 + ... + 21934.

It is an arithmetic number, because the mean of its divisors is an integer number (783432).

Almost surely, 215130384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15130384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15668640).

15130384 is an abundant number, since it is smaller than the sum of its proper divisors (16206896).

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

15130384 is a wasteful number, since it uses less digits than its factorization.

15130384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 15130384 is about 3889.7794281938. The cubic root of 15130384 is about 247.3337127417. Note that the first 3 decimals are identical.

The spelling of 15130384 in words is "fifteen million, one hundred thirty thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 19 38 71 76 142 152 284 304 568 701 1136 1349 1402 2698 2804 5396 5608 10792 11216 13319 21584 26638 49771 53276 99542 106552 199084 213104 398168 796336 945649 1891298 3782596 7565192 15130384