Search a number
-
+
2132047008 = 253571323131
BaseRepresentation
bin111111100010100…
…0111010010100000
312111120211012200000
41333011013102200
513331301001013
6551321100000
7103556046330
oct17705072240
95446735600
102132047008
119a4537523
124b6027600
1327c92b7a0
1416322d0c0
15c7297973
hex7f1474a0

2132047008 has 576 divisors, whose sum is σ = 8136640512. Its totient is φ = 533744640.

The previous prime is 2132047003. The next prime is 2132047063. The reversal of 2132047008 is 8007402312.

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

It is not an unprimeable number, because it can be changed into a prime (2132047003) 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, 16275103 + ... + 16275233.

It is an arithmetic number, because the mean of its divisors is an integer number (14126112).

Almost surely, 22132047008 is an apocalyptic number.

2132047008 is a gapful number since it is divisible by the number (28) 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 2132047008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4068320256).

2132047008 is an abundant number, since it is smaller than the sum of its proper divisors (6004593504).

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

2132047008 is a wasteful number, since it uses less digits than its factorization.

2132047008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2132047008 is about 46174.0945552807. The cubic root of 2132047008 is about 1287.0603913175.

The spelling of 2132047008 in words is "two billion, one hundred thirty-two million, forty-seven thousand, eight".