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2827940 = 225141397
BaseRepresentation
bin1010110010011010100100
312022200012112
422302122210
51210443230
6140340152
733015503
oct12623244
95280175
102827940
111661745
12b44658
1378024b
1453883a
153acd95
hex2b26a4

2827940 has 12 divisors (see below), whose sum is σ = 5938716. Its totient is φ = 1131168.

The previous prime is 2827939. The next prime is 2827961. The reversal of 2827940 is 497282.

2827940 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 2010724 + 817216 = 1418^2 + 904^2 .

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2827897 and 2827906.

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, 70679 + ... + 70718.

It is an arithmetic number, because the mean of its divisors is an integer number (494893).

22827940 is an apocalyptic number.

2827940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2827940 is an abundant number, since it is smaller than the sum of its proper divisors (3110776).

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

2827940 is a wasteful number, since it uses less digits than its factorization.

2827940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141406 (or 141404 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 2827940 is about 1681.6480012179. The cubic root of 2827940 is about 141.4132370254.

The spelling of 2827940 in words is "two million, eight hundred twenty-seven thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 141397 282794 565588 706985 1413970 2827940