Search a number
-
+
2856368100 = 223529521227
BaseRepresentation
bin1010101001000000…
…1011011111100100
321101001202112102010
42222100023133210
521322212234400
61151233514220
7130532504535
oct25220133744
97331675363
102856368100
1112363886a3
12678712970
13366a05051
141d14d868c
1511ab71450
hexaa40b7e4

2856368100 has 36 divisors (see below), whose sum is σ = 8264425904. Its totient is φ = 761698080.

The previous prime is 2856368093. The next prime is 2856368107. The reversal of 2856368100 is 18636582.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2856368093) and next prime (2856368107).

It is a super-2 number, since 2×28563681002 = 16317677445395220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2856368107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4760314 + ... + 4760913.

Almost surely, 22856368100 is an apocalyptic number.

2856368100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2856368100 is an abundant number, since it is smaller than the sum of its proper divisors (5408057804).

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

2856368100 is a wasteful number, since it uses less digits than its factorization.

2856368100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9521244 (or 9521237 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 2856368100 is about 53445.0007016559. Note that the first 3 decimals coincide. The cubic root of 2856368100 is about 1418.8551408298.

The spelling of 2856368100 in words is "two billion, eight hundred fifty-six million, three hundred sixty-eight thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 9521227 19042454 28563681 38084908 47606135 57127362 95212270 114254724 142818405 190424540 238030675 285636810 476061350 571273620 714092025 952122700 1428184050 2856368100