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15328096 = 257411669
BaseRepresentation
bin111010011110…
…001101100000
31001211202012021
4322132031200
512410444341
61304311224
7244200220
oct72361540
931752167
1015328096
11871a253
125172514
133238aa4
142070080
15152b9d1
hexe9e360

15328096 has 48 divisors (see below), whose sum is σ = 35350560. Its totient is φ = 6405120.

The previous prime is 15328091. The next prime is 15328109. The reversal of 15328096 is 69082351.

15328096 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

15328096 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15328091) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8350 + ... + 10018.

It is an arithmetic number, because the mean of its divisors is an integer number (736470).

Almost surely, 215328096 is an apocalyptic number.

15328096 is a gapful number since it is divisible by the number (16) 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 15328096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17675280).

15328096 is an abundant number, since it is smaller than the sum of its proper divisors (20022464).

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

15328096 is a wasteful number, since it uses less digits than its factorization.

15328096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1727 (or 1719 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 15328096 is about 3915.1112372447. Note that the first 3 decimals coincide. The cubic root of 15328096 is about 248.4063750230.

The spelling of 15328096 in words is "fifteen million, three hundred twenty-eight thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 82 112 164 224 287 328 574 656 1148 1312 1669 2296 3338 4592 6676 9184 11683 13352 23366 26704 46732 53408 68429 93464 136858 186928 273716 373856 479003 547432 958006 1094864 1916012 2189728 3832024 7664048 15328096