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2139618240 = 26345233797
BaseRepresentation
bin111111110000111…
…1111101111000000
312112010001212110000
41333201333233000
513340220240430
6552151240000
7104010312024
oct17741775700
95463055400
102139618240
119a8838941
124b8679000
1328137c9c6
14164240384
15c7c90e60
hex7f87fbc0

2139618240 has 560 divisors, whose sum is σ = 8240645952. Its totient is φ = 525533184.

The previous prime is 2139618227. The next prime is 2139618241. The reversal of 2139618240 is 428169312.

2139618240 is a `hidden beast` number, since 2 + 1 + 39 + 618 + 2 + 4 + 0 = 666.

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 = 2139618195 and 2139618204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2139618241) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22057872 + ... + 22057968.

Almost surely, 22139618240 is an apocalyptic number.

2139618240 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 2139618240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4120322976).

2139618240 is an abundant number, since it is smaller than the sum of its proper divisors (6101027712).

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

2139618240 is a wasteful number, since it uses less digits than its factorization.

2139618240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2139618240 is about 46256.0076098230. The cubic root of 2139618240 is about 1288.5821089567.

The spelling of 2139618240 in words is "two billion, one hundred thirty-nine million, six hundred eighteen thousand, two hundred forty".