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2130892830 = 2325114394903
BaseRepresentation
bin111111100000010…
…1101100000011110
312111111122120102200
41333000231200132
513331002032310
6551240232330
7103543201353
oct17700554036
95444576380
102130892830
119a3919360
124b576b6a6
1327c616341
1416300c62a
15c711a9c0
hex7f02d81e

2130892830 has 96 divisors (see below), whose sum is σ = 6058990080. Its totient is φ = 515298240.

The previous prime is 2130892817. The next prime is 2130892831. The reversal of 2130892830 is 382980312.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2130892831) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 432159 + ... + 437061.

It is an arithmetic number, because the mean of its divisors is an integer number (63114480).

Almost surely, 22130892830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2130892830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3029495040).

2130892830 is an abundant number, since it is smaller than the sum of its proper divisors (3928097250).

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

2130892830 is a wasteful number, since it uses less digits than its factorization.

2130892830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5366 (or 5363 counting only the distinct ones).

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

The square root of 2130892830 is about 46161.5947514815. The cubic root of 2130892830 is about 1286.8281004846.

The spelling of 2130892830 in words is "two billion, one hundred thirty million, eight hundred ninety-two thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 439 495 878 990 1317 2195 2634 3951 4390 4829 4903 6585 7902 9658 9806 13170 14487 14709 19755 24145 24515 28974 29418 39510 43461 44127 48290 49030 53933 72435 73545 86922 88254 107866 144870 147090 161799 217305 220635 269665 323598 434610 441270 485397 539330 808995 970794 1617990 2152417 2426985 4304834 4853970 6457251 10762085 12914502 19371753 21524170 23676587 32286255 38743506 47353174 64572510 71029761 96858765 118382935 142059522 193717530 213089283 236765870 355148805 426178566 710297610 1065446415 2130892830