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2673640 = 23566841
BaseRepresentation
bin1010001100101111101000
312000211112201
422030233220
51141024030
6133145544
731503604
oct12145750
95024481
102673640
111566822
12a8b2b4
13727c48
144d8504
1537c2ca
hex28cbe8

2673640 has 16 divisors (see below), whose sum is σ = 6015780. Its totient is φ = 1069440.

The previous prime is 2673637. The next prime is 2673653. The reversal of 2673640 is 463762.

2673640 is digitally balanced in base 2, 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 2604996 + 68644 = 1614^2 + 262^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2673599 and 2673608.

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 3 ways as a sum of consecutive naturals, for example, 33381 + ... + 33460.

22673640 is an apocalyptic number.

2673640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2673640 is an abundant number, since it is smaller than the sum of its proper divisors (3342140).

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

2673640 is a wasteful number, since it uses less digits than its factorization.

2673640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66852 (or 66848 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

The square root of 2673640 is about 1635.1269063898. The cubic root of 2673640 is about 138.7930256415.

The spelling of 2673640 in words is "two million, six hundred seventy-three thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 66841 133682 267364 334205 534728 668410 1336820 2673640