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2000856 = 2331121353
BaseRepresentation
bin111101000011111011000
310202122122210
413220133120
51003011411
6110515120
723002254
oct7503730
93678583
102000856
111147300
12805aa0
13550950
143a1264
15297ca6
hex1e87d8

2000856 has 96 divisors (see below), whose sum is σ = 6032880. Its totient is φ = 549120.

The previous prime is 2000813. The next prime is 2000863. The reversal of 2000856 is 6580002.

It is a happy number.

It is a super-5 number, since 5×20008565 (a number of 33 digits) contains 55555 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37726 + ... + 37778.

22000856 is an apocalyptic number.

2000856 is a gapful number since it is divisible by the number (26) 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 2000856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3016440).

2000856 is an abundant number, since it is smaller than the sum of its proper divisors (4032024).

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

2000856 is a wasteful number, since it uses less digits than its factorization.

2000856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 2000856 is about 1414.5161716997. The cubic root of 2000856 is about 126.0100772993.

Subtracting from 2000856 its product of nonzero digits (480), we obtain a cube (2000376 = 1263).

Adding to 2000856 its reverse (6580002), we get a palindrome (8580858).

The spelling of 2000856 in words is "two million, eight hundred fifty-six", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 53 66 78 88 104 106 121 132 143 156 159 212 242 264 286 312 318 363 424 429 484 572 583 636 689 726 858 968 1144 1166 1272 1378 1452 1573 1716 1749 2067 2332 2756 2904 3146 3432 3498 4134 4664 4719 5512 6292 6413 6996 7579 8268 9438 12584 12826 13992 15158 16536 18876 19239 22737 25652 30316 37752 38478 45474 51304 60632 76956 83369 90948 153912 166738 181896 250107 333476 500214 666952 1000428 2000856