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15132096 = 26357139
BaseRepresentation
bin111001101110…
…010111000000
31001110210100000
4321232113000
512333211341
61300200000
7242422620
oct71562700
931423300
1015132096
1185a5a71
125099000
13319a805
14201c880
1514dd8b6
hexe6e5c0

15132096 has 168 divisors, whose sum is σ = 51775360. Its totient is φ = 4292352.

The previous prime is 15132079. The next prime is 15132101. The reversal of 15132096 is 69023151.

15132096 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 is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108795 + ... + 108933.

Almost surely, 215132096 is an apocalyptic number.

15132096 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 15132096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25887680).

15132096 is an abundant number, since it is smaller than the sum of its proper divisors (36643264).

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

15132096 is an equidigital number, since it uses as much as digits as its factorization.

15132096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 15132096 is about 3889.9994858611. Note that the first 3 decimals coincide. The cubic root of 15132096 is about 247.3430409770.

The spelling of 15132096 in words is "fifteen million, one hundred thirty-two thousand, ninety-six".