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2130995790 = 235572111627
BaseRepresentation
bin111111100000100…
…0110101001001110
312111111211210200000
41333001012221032
513331013331130
6551242345130
7103544110500
oct17701065116
95444753600
102130995790
119a3989750
124b57bb1a6
1327c651171
14163037d70
15c713b260
hex7f046a4e

2130995790 has 288 divisors, whose sum is σ = 7295992704. Its totient is φ = 442532160.

The previous prime is 2130995767. The next prime is 2130995791. The reversal of 2130995790 is 975990312.

It is a happy number.

2130995790 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 2×21309957902 = 9082286113995448200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2130995791) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1308957 + ... + 1310583.

It is an arithmetic number, because the mean of its divisors is an integer number (25333308).

Almost surely, 22130995790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2130995790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3647996352).

2130995790 is an abundant number, since it is smaller than the sum of its proper divisors (5164996914).

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

2130995790 is a wasteful number, since it uses less digits than its factorization.

2130995790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1674 (or 1655 counting only the distinct ones).

The product of its (nonzero) digits is 153090, while the sum is 45.

The square root of 2130995790 is about 46162.7099507817. The cubic root of 2130995790 is about 1286.8488257076.

The spelling of 2130995790 in words is "two billion, one hundred thirty million, nine hundred ninety-five thousand, seven hundred ninety".