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2640020 = 225132001
BaseRepresentation
bin1010000100100010010100
311222010102112
422010202110
51133440040
6132330152
731303565
oct12044224
94863375
102640020
111543539
12a73958
13715856
144ca16c
15372365
hex284894

2640020 has 12 divisors (see below), whose sum is σ = 5544084. Its totient is φ = 1056000.

The previous prime is 2640017. The next prime is 2640023. The reversal of 2640020 is 200462.

It is an interprime number because it is at equal distance from previous prime (2640017) and next prime (2640023).

It can be written as a sum of positive squares in 2 ways, for example, as 1800964 + 839056 = 1342^2 + 916^2 .

It is a hoax number, since the sum of its digits (14) 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 = 2639977 and 2640004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2640023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 65981 + ... + 66020.

It is an arithmetic number, because the mean of its divisors is an integer number (462007).

22640020 is an apocalyptic number.

2640020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2640020 is an abundant number, since it is smaller than the sum of its proper divisors (2904064).

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

2640020 is a wasteful number, since it uses less digits than its factorization.

2640020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132010 (or 132008 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2640020 is about 1624.8138354901. The cubic root of 2640020 is about 138.2088136106.

Adding to 2640020 its reverse (200462), we get a palindrome (2840482).

The spelling of 2640020 in words is "two million, six hundred forty thousand, twenty".

Divisors: 1 2 4 5 10 20 132001 264002 528004 660005 1320010 2640020