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2800020 = 2235232029
BaseRepresentation
bin1010101011100110010100
312021020220110
422223212110
51204100040
6140003020
732541216
oct12534624
95236813
102800020
111642773
12b30470
13770622
1452c5b6
153a4980
hex2ab994

2800020 has 48 divisors (see below), whose sum is σ = 8184960. Its totient is φ = 713856.

The previous prime is 2800003. The next prime is 2800033. The reversal of 2800020 is 200082.

2800020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×28000202 = 15680224000800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2799969 and 2800005.

It is a congruent number.

It is an unprimeable number.

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, 366 + ... + 2394.

It is an arithmetic number, because the mean of its divisors is an integer number (170520).

22800020 is an apocalyptic number.

2800020 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 2800020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4092480).

2800020 is an abundant number, since it is smaller than the sum of its proper divisors (5384940).

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

2800020 is a wasteful number, since it uses less digits than its factorization.

2800020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2064 (or 2062 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2800020 is about 1673.3260292005. The cubic root of 2800020 is about 140.9463102262.

The spelling of 2800020 in words is "two million, eight hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 2029 4058 6087 8116 10145 12174 20290 24348 30435 40580 46667 60870 93334 121740 140001 186668 233335 280002 466670 560004 700005 933340 1400010 2800020