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2638820 = 225131941
BaseRepresentation
bin1010000100001111100100
311222001210002
422010033210
51133420240
6132320432
731300232
oct12041744
94861702
102638820
111542648
12a73118
13715142
144c9952
15371d15
hex2843e4

2638820 has 12 divisors (see below), whose sum is σ = 5541564. Its totient is φ = 1055520.

The previous prime is 2638793. The next prime is 2638841. The reversal of 2638820 is 288362.

2638820 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 891136 + 1747684 = 944^2 + 1322^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 65951 + ... + 65990.

It is an arithmetic number, because the mean of its divisors is an integer number (461797).

22638820 is an apocalyptic number.

2638820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2638820 is an abundant number, since it is smaller than the sum of its proper divisors (2902744).

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

2638820 is a wasteful number, since it uses less digits than its factorization.

2638820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131950 (or 131948 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 2638820 is about 1624.4445204438. Note that the first 3 decimals coincide. The cubic root of 2638820 is about 138.1878698663.

The spelling of 2638820 in words is "two million, six hundred thirty-eight thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 131941 263882 527764 659705 1319410 2638820