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2800920 = 2335171373
BaseRepresentation
bin1010101011110100011000
312021022010210
422223310120
51204112140
6140011120
732543643
oct12536430
95238123
102800920
111643411
12b30aa0
13770b65
1452ca5a
153a4d80
hex2abd18

2800920 has 64 divisors (see below), whose sum is σ = 8903520. Its totient is φ = 702464.

The previous prime is 2800883. The next prime is 2800921. The reversal of 2800920 is 290082.

2800920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2800921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1354 + ... + 2726.

22800920 is an apocalyptic number.

2800920 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 2800920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4451760).

2800920 is an abundant number, since it is smaller than the sum of its proper divisors (6102600).

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

2800920 is a wasteful number, since it uses less digits than its factorization.

2800920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1404 (or 1400 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 2800920 is about 1673.5949330707. The cubic root of 2800920 is about 140.9614098910.

The spelling of 2800920 in words is "two million, eight hundred thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 1373 2040 2746 4119 5492 6865 8238 10984 13730 16476 20595 23341 27460 32952 41190 46682 54920 70023 82380 93364 116705 140046 164760 186728 233410 280092 350115 466820 560184 700230 933640 1400460 2800920