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142142020 = 2258578293
BaseRepresentation
bin10000111100011…
…10101001000100
3100220110120012021
420132032221010
5242342021040
622034332524
73344121136
oct1036165104
9326416167
10142142020
1173265449
123b72a144
13235aa307
1414c41056
15c72b24a
hex878ea44

142142020 has 24 divisors (see below), whose sum is σ = 298882584. Its totient is φ = 56783616.

The previous prime is 142142003. The next prime is 142142029. The reversal of 142142020 is 20241241.

It can be written as a sum of positive squares in 4 ways, for example, as 24462916 + 117679104 = 4946^2 + 10848^2 .

It is a junction number, because it is equal to n+sod(n) for n = 142141985 and 142142003.

It is not an unprimeable number, because it can be changed into a prime (142142029) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12994 + ... + 21286.

It is an arithmetic number, because the mean of its divisors is an integer number (12453441).

Almost surely, 2142142020 is an apocalyptic number.

142142020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142142020 is an abundant number, since it is smaller than the sum of its proper divisors (156740564).

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

142142020 is a wasteful number, since it uses less digits than its factorization.

142142020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9159 (or 9157 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 142142020 is about 11922.3328254163. The cubic root of 142142020 is about 521.8842146173.

Adding to 142142020 its reverse (20241241), we get a palindrome (162383261).

The spelling of 142142020 in words is "one hundred forty-two million, one hundred forty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 857 1714 3428 4285 8293 8570 16586 17140 33172 41465 82930 165860 7107101 14214202 28428404 35535505 71071010 142142020