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142727140 = 22510170657
BaseRepresentation
bin10001000000111…
…01011111100100
3100221120021211101
420200131133210
5243014232030
622055045444
73352106053
oct1040353744
9327507741
10142727140
1173625016
123b970884
132375373a
1414d5439a
15c7e47ca
hex881d7e4

142727140 has 24 divisors (see below), whose sum is σ = 302698872. Its totient is φ = 56524800.

The previous prime is 142727099. The next prime is 142727141. The reversal of 142727140 is 41727241.

It can be written as a sum of positive squares in 4 ways, for example, as 86266944 + 56460196 = 9288^2 + 7514^2 .

It is a junction number, because it is equal to n+sod(n) for n = 142727099 and 142727108.

It is not an unprimeable number, because it can be changed into a prime (142727141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33309 + ... + 37348.

It is an arithmetic number, because the mean of its divisors is an integer number (12612453).

Almost surely, 2142727140 is an apocalyptic number.

142727140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142727140 is an abundant number, since it is smaller than the sum of its proper divisors (159971732).

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

142727140 is a wasteful number, since it uses less digits than its factorization.

142727140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70767 (or 70765 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 28.

The square root of 142727140 is about 11946.8464458199. The cubic root of 142727140 is about 522.5993370496.

It can be divided in two parts, 14272 and 7140, that added together give a palindrome (21412).

The spelling of 142727140 in words is "one hundred forty-two million, seven hundred twenty-seven thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 101 202 404 505 1010 2020 70657 141314 282628 353285 706570 1413140 7136357 14272714 28545428 35681785 71363570 142727140