Search a number
-
+
2090592000 = 28325371761
BaseRepresentation
bin111110010011011…
…1110011100000000
312101200211002002100
41330212332130000
513240142421000
6543240350400
7102543511260
oct17446763400
95350732070
102090592000
119830a2792
124a4175400
132741758b3
1415b91b7a0
15c3809a00
hex7c9be700

2090592000 has 864 divisors, whose sum is σ = 9252157824. Its totient is φ = 442368000.

The previous prime is 2090591977. The next prime is 2090592011. The reversal of 2090592000 is 2950902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34271970 + ... + 34272030.

It is an arithmetic number, because the mean of its divisors is an integer number (10708516).

Almost surely, 22090592000 is an apocalyptic number.

2090592000 is a gapful number since it is divisible by the number (20) 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 2090592000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4626078912).

2090592000 is an abundant number, since it is smaller than the sum of its proper divisors (7161565824).

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

2090592000 is a wasteful number, since it uses less digits than its factorization.

2090592000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 95 counting only the distinct ones).

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

The square root of 2090592000 is about 45722.9920280815. The cubic root of 2090592000 is about 1278.6639705571.

The spelling of 2090592000 in words is "two billion, ninety million, five hundred ninety-two thousand".