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2130403704 = 233111323137197
BaseRepresentation
bin111111011111011…
…0110000101111000
312111110201201110220
41332332312011320
513330340404304
6551221540040
7103536063342
oct17676660570
95443651426
102130403704
119a3614920
124b5574620
1327c4a4810
14162d22292
15c7070ad9
hex7efb6178

2130403704 has 256 divisors, whose sum is σ = 6610222080. Its totient is φ = 562974720.

The previous prime is 2130403703. The next prime is 2130403799. The reversal of 2130403704 is 4073040312.

It is a super-3 number, since 3×21304037043 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2130403703) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10814134 + ... + 10814330.

It is an arithmetic number, because the mean of its divisors is an integer number (25821180).

Almost surely, 22130403704 is an apocalyptic number.

2130403704 is a gapful number since it is divisible by the number (24) 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 2130403704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3305111040).

2130403704 is an abundant number, since it is smaller than the sum of its proper divisors (4479818376).

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

2130403704 is a wasteful number, since it uses less digits than its factorization.

2130403704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 2130403704 is about 46156.2964718791. The cubic root of 2130403704 is about 1286.7296332697.

The spelling of 2130403704 in words is "two billion, one hundred thirty million, four hundred three thousand, seven hundred four".