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2130858960 = 2435179193257
BaseRepresentation
bin111111100000010…
…0101001111010000
312111111120211222020
41333000211033100
513330444441320
6551235411440
7103543000536
oct17700451720
95444524866
102130858960
119a38a596a
124b5753b80
1327c603ab9
14163000156
15c7110940
hex7f0253d0

2130858960 has 160 divisors (see below), whose sum is σ = 6702963840. Its totient is φ = 559939584.

The previous prime is 2130858923. The next prime is 2130858979. The reversal of 2130858960 is 698580312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8291152 + ... + 8291408.

It is an arithmetic number, because the mean of its divisors is an integer number (41893524).

Almost surely, 22130858960 is an apocalyptic number.

2130858960 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 2130858960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3351481920).

2130858960 is an abundant number, since it is smaller than the sum of its proper divisors (4572104880).

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

2130858960 is a wasteful number, since it uses less digits than its factorization.

2130858960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 2130858960 is about 46161.2278866150. The cubic root of 2130858960 is about 1286.8212825133.

The spelling of 2130858960 in words is "two billion, one hundred thirty million, eight hundred fifty-eight thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 179 193 240 257 358 386 514 537 579 716 771 772 895 965 1028 1074 1158 1285 1432 1542 1544 1790 1930 2056 2148 2316 2570 2685 2864 2895 3084 3088 3580 3855 3860 4112 4296 4632 5140 5370 5790 6168 7160 7710 7720 8592 9264 10280 10740 11580 12336 14320 15420 15440 20560 21480 23160 30840 34547 42960 46003 46320 49601 61680 69094 92006 99202 103641 138009 138188 148803 172735 184012 198404 207282 230015 248005 276018 276376 297606 345470 368024 396808 414564 460030 496010 518205 552036 552752 595212 690045 690940 736048 744015 793616 829128 920060 992020 1036410 1104072 1190424 1380090 1381880 1488030 1658256 1840120 1984040 2072820 2208144 2380848 2760180 2763760 2976060 3680240 3968080 4145640 5520360 5952120 8291280 8878579 11040720 11904240 17757158 26635737 35514316 44392895 53271474 71028632 88785790 106542948 133178685 142057264 177571580 213085896 266357370 355143160 426171792 532714740 710286320 1065429480 2130858960