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2136090528 = 2535111317113
BaseRepresentation
bin111111101010010…
…0010011110100000
312111212102122100000
41333110202132200
513333314344103
6551543500000
7103635320115
oct17724423640
95455378300
102136090528
119a6849480
124b7457600
132807160c0
141639a290c
15c77e5aa3
hex7f5227a0

2136090528 has 576 divisors, whose sum is σ = 7905485952. Its totient is φ = 557383680.

The previous prime is 2136090527. The next prime is 2136090589. The reversal of 2136090528 is 8250906312.

2136090528 is a `hidden beast` number, since 21 + 3 + 609 + 0 + 5 + 28 = 666.

2136090528 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×21360905282 = 9125765487622637568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2136090492 and 2136090501.

It is not an unprimeable number, because it can be changed into a prime (2136090521) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18903400 + ... + 18903512.

It is an arithmetic number, because the mean of its divisors is an integer number (13724802).

Almost surely, 22136090528 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 2136090528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3952742976).

2136090528 is an abundant number, since it is smaller than the sum of its proper divisors (5769395424).

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

2136090528 is a wasteful number, since it uses less digits than its factorization.

2136090528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 2136090528 is about 46217.8594052126. The cubic root of 2136090528 is about 1287.8735328421.

The spelling of 2136090528 in words is "two billion, one hundred thirty-six million, ninety thousand, five hundred twenty-eight".