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142135236 = 22341932273
BaseRepresentation
bin10000111100011…
…00111111000100
3100220110012220000
420132030333010
5242341311421
622034241300
73344062305
oct1036147704
9326405800
10142135236
1173260341
123b726230
13235a71b9
1414c3c7ac
15c729226
hex878cfc4

142135236 has 60 divisors (see below), whose sum is σ = 373659132. Its totient is φ = 47112192.

The previous prime is 142135229. The next prime is 142135247. The reversal of 142135236 is 632531241.

142135236 is a `hidden beast` number, since 1 + 421 + 3 + 5 + 236 = 666.

142135236 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 83612736 + 58522500 = 9144^2 + 7650^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 61396 + ... + 63668.

Almost surely, 2142135236 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142135236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186829566).

142135236 is an abundant number, since it is smaller than the sum of its proper divisors (231523896).

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

142135236 is a wasteful number, since it uses less digits than its factorization.

With its successor (142135237) it forms an eRAP, since the sums of their prime factors are consecutive (2482 and 2483).

142135236 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2482 (or 2471 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 142135236 is about 11922.0483139434. The cubic root of 142135236 is about 521.8759118442.

Adding to 142135236 its reverse (632531241), we get a palindrome (774666477).

The spelling of 142135236 in words is "one hundred forty-two million, one hundred thirty-five thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 193 324 386 579 772 1158 1737 2273 2316 3474 4546 5211 6819 6948 9092 10422 13638 15633 20457 20844 27276 31266 40914 61371 62532 81828 122742 184113 245484 368226 438689 736452 877378 1316067 1754756 2632134 3948201 5264268 7896402 11844603 15792804 23689206 35533809 47378412 71067618 142135236