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142140252 = 223292331753
BaseRepresentation
bin10000111100011…
…10001101011100
3100220110110202210
420132032031130
5242341442002
622034320420
73344113032
oct1036161534
9326413683
10142140252
1173264091
123b729110
13235a9577
1414c40552
15c72a96c
hex878e35c

142140252 has 48 divisors (see below), whose sum is σ = 344766240. Its totient is φ = 45523968.

The previous prime is 142140227. The next prime is 142140259. The reversal of 142140252 is 252041241.

142140252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142140259) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80208 + ... + 81960.

It is an arithmetic number, because the mean of its divisors is an integer number (7182630).

Almost surely, 2142140252 is an apocalyptic number.

142140252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142140252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172383120).

142140252 is an abundant number, since it is smaller than the sum of its proper divisors (202625988).

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

142140252 is a wasteful number, since it uses less digits than its factorization.

142140252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2022 (or 2020 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 142140252 is about 11922.2586786229. The cubic root of 142140252 is about 521.8820508304.

Adding to 142140252 its reverse (252041241), we get a palindrome (394181493).

The spelling of 142140252 in words is "one hundred forty-two million, one hundred forty thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 233 348 466 699 932 1398 1753 2796 3506 5259 6757 7012 10518 13514 20271 21036 27028 40542 50837 81084 101674 152511 203348 305022 408449 610044 816898 1225347 1633796 2450694 4901388 11845021 23690042 35535063 47380084 71070126 142140252