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2106934060 = 2257119711409
BaseRepresentation
bin111110110010101…
…0100001100101100
312102211120100011211
41331211110030230
513303333342220
6545022524204
7103132433620
oct17545241454
95384510154
102106934060
11991344820
124a9736664
1327767805a
1415db73180
15c4e86b5a
hex7d95432c

2106934060 has 96 divisors (see below), whose sum is σ = 5525936640. Its totient is φ = 655564800.

The previous prime is 2106934051. The next prime is 2106934091. The reversal of 2106934060 is 604396012.

It is a super-2 number, since 2×21069340602 = 8878342266376167200, which contains 22 as substring.

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, 1494636 + ... + 1496044.

It is an arithmetic number, because the mean of its divisors is an integer number (57561840).

Almost surely, 22106934060 is an apocalyptic number.

2106934060 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 2106934060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2762968320).

2106934060 is an abundant number, since it is smaller than the sum of its proper divisors (3419002580).

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

2106934060 is a wasteful number, since it uses less digits than its factorization.

2106934060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2407 (or 2405 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 2106934060 is about 45901.3513962280. The cubic root of 2106934060 is about 1281.9870788537.

The spelling of 2106934060 in words is "two billion, one hundred six million, nine hundred thirty-four thousand, sixty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 971 1409 1540 1942 2818 3884 4855 5636 6797 7045 9710 9863 10681 13594 14090 15499 19420 19726 21362 27188 28180 30998 33985 39452 42724 49315 53405 61996 67970 74767 77495 98630 106810 108493 135940 149534 154990 197260 213620 216986 299068 309980 373835 433972 542465 747670 1084930 1368139 1495340 2169860 2736278 5472556 6840695 9576973 13681390 15049529 19153946 27362780 30099058 38307892 47884865 60198116 75247645 95769730 105346703 150495290 191539460 210693406 300990580 421386812 526733515 1053467030 2106934060