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2130259830 = 23537251869
BaseRepresentation
bin111111011111001…
…0010111101110110
312111110110102010020
41332332102331312
513330321303310
6551214510010
7103534624026
oct17676227566
95443412106
102130259830
119a3526816
124b5505306
1327c45419a
14162cc5a86
15c7043170
hex7ef92f76

2130259830 has 48 divisors (see below), whose sum is σ = 5254638480. Its totient is φ = 552705408.

The previous prime is 2130259811. The next prime is 2130259853. The reversal of 2130259830 is 389520312.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2130259791 and 2130259800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15136 + ... + 67004.

It is an arithmetic number, because the mean of its divisors is an integer number (109471635).

Almost surely, 22130259830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2130259830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2627319240).

2130259830 is an abundant number, since it is smaller than the sum of its proper divisors (3124378650).

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

2130259830 is a wasteful number, since it uses less digits than its factorization.

2130259830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51953 (or 51916 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 2130259830 is about 46154.7378933084. The cubic root of 2130259830 is about 1286.7006667556.

The spelling of 2130259830 in words is "two billion, one hundred thirty million, two hundred fifty-nine thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 370 555 1110 1369 2738 4107 6845 8214 13690 20535 41070 51869 103738 155607 259345 311214 518690 778035 1556070 1919153 3838306 5757459 9595765 11514918 19191530 28787295 57574590 71008661 142017322 213025983 355043305 426051966 710086610 1065129915 2130259830