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142935232 = 26111911063
BaseRepresentation
bin10001000010100…
…00010011000000
3100221221212021111
420201100103000
5243042411412
622103333104
73353633536
oct1041202300
9327855244
10142935232
11737573a0
123ba51194
13237c737b
1414daa156
15c8362a7
hex88504c0

142935232 has 56 divisors (see below), whose sum is σ = 311334912. Its totient is φ = 64569600.

The previous prime is 142935197. The next prime is 142935239. The reversal of 142935232 is 232539241.

It is a junction number, because it is equal to n+sod(n) for n = 142935194 and 142935203.

It is not an unprimeable number, because it can be changed into a prime (142935239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 133933 + ... + 134995.

It is an arithmetic number, because the mean of its divisors is an integer number (5559552).

Almost surely, 2142935232 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 142935232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155667456).

142935232 is an abundant number, since it is smaller than the sum of its proper divisors (168399680).

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

142935232 is a wasteful number, since it uses less digits than its factorization.

142935232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1277 (or 1267 counting only the distinct ones).

The product of its digits is 12960, while the sum is 31.

The square root of 142935232 is about 11955.5523502681. The cubic root of 142935232 is about 522.8531919067.

The spelling of 142935232 in words is "one hundred forty-two million, nine hundred thirty-five thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 191 352 382 704 764 1063 1528 2101 2126 3056 4202 4252 6112 8404 8504 11693 12224 16808 17008 23386 33616 34016 46772 67232 68032 93544 134464 187088 203033 374176 406066 748352 812132 1624264 2233363 3248528 4466726 6497056 8933452 12994112 17866904 35733808 71467616 142935232