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8142020 = 2251572593
BaseRepresentation
bin11111000011110011000100
3120022122202022
4133003303010
54041021040
6450302312
7126130445
oct37036304
916278668
108142020
114661247
122887998
1318c0c83
14111d2cc
15aac6b5
hex7c3cc4

8142020 has 24 divisors (see below), whose sum is σ = 17213784. Its totient is φ = 3234816.

The previous prime is 8141999. The next prime is 8142037. The reversal of 8142020 is 202418.

It can be written as a sum of positive squares in 4 ways, for example, as 568516 + 7573504 = 754^2 + 2752^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 8142020.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1844 + ... + 4436.

It is an arithmetic number, because the mean of its divisors is an integer number (717241).

Almost surely, 28142020 is an apocalyptic number.

It is an amenable number.

8142020 is an abundant number, since it is smaller than the sum of its proper divisors (9071764).

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

8142020 is a wasteful number, since it uses less digits than its factorization.

8142020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2759 (or 2757 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 8142020 is about 2853.4225063947. The cubic root of 8142020 is about 201.1765649024.

Adding to 8142020 its reverse (202418), we get a palindrome (8344438).

The spelling of 8142020 in words is "eight million, one hundred forty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 157 314 628 785 1570 2593 3140 5186 10372 12965 25930 51860 407101 814202 1628404 2035505 4071010 8142020