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2106830760 = 2335113155371
BaseRepresentation
bin111110110010011…
…1010111110101000
312102211101002110220
41331210322332220
513303322041020
6545020410040
7103131523506
oct17544727650
95384332426
102106830760
11991284151
124a96a6920
13277640028
1415db47676
15c4e66240
hex7d93afa8

2106830760 has 64 divisors (see below), whose sum is σ = 6376466880. Its totient is φ = 556846080.

The previous prime is 2106830707. The next prime is 2106830767. The reversal of 2106830760 is 670386012.

It is not an unprimeable number, because it can be changed into a prime (2106830767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64126 + ... + 91245.

It is an arithmetic number, because the mean of its divisors is an integer number (99632295).

Almost surely, 22106830760 is an apocalyptic number.

2106830760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2106830760 is an abundant number, since it is smaller than the sum of its proper divisors (4269636120).

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

2106830760 is a wasteful number, since it uses less digits than its factorization.

2106830760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155498 (or 155494 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 2106830760 is about 45900.2261432338. The cubic root of 2106830760 is about 1281.9661271729.

The spelling of 2106830760 in words is "two billion, one hundred six million, eight hundred thirty thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 113 120 226 339 452 565 678 904 1130 1356 1695 2260 2712 3390 4520 6780 13560 155371 310742 466113 621484 776855 932226 1242968 1553710 1864452 2330565 3107420 3728904 4661130 6214840 9322260 17556923 18644520 35113846 52670769 70227692 87784615 105341538 140455384 175569230 210683076 263353845 351138460 421366152 526707690 702276920 1053415380 2106830760