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15093072 = 2432281373
BaseRepresentation
bin111001100100…
…110101010000
31001101210210200
4321210311100
512330434242
61255255200
7242201061
oct71446520
931353720
1015093072
118579715
12507a500
133185b17
14200c568
1514d204c
hexe64d50

15093072 has 60 divisors (see below), whose sum is σ = 42503604. Its totient is φ = 4999680.

The previous prime is 15093053. The next prime is 15093073. The reversal of 15093072 is 27039051.

It can be written as a sum of positive squares in 2 ways, for example, as 9217296 + 5875776 = 3036^2 + 2424^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15093073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40278 + ... + 40650.

Almost surely, 215093072 is an apocalyptic number.

15093072 is a gapful number since it is divisible by the number (12) 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 15093072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21251802).

15093072 is an abundant number, since it is smaller than the sum of its proper divisors (27410532).

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

15093072 is a wasteful number, since it uses less digits than its factorization.

15093072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 15093072 is about 3884.9803088304. The cubic root of 15093072 is about 247.1302344991.

The spelling of 15093072 in words is "fifteen million, ninety-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 281 373 562 746 843 1119 1124 1492 1686 2238 2248 2529 2984 3357 3372 4476 4496 5058 5968 6714 6744 8952 10116 13428 13488 17904 20232 26856 40464 53712 104813 209626 314439 419252 628878 838504 943317 1257756 1677008 1886634 2515512 3773268 5031024 7546536 15093072