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142432032 = 2534136187
BaseRepresentation
bin10000111110101…
…01011100100000
3100221000022000110
420133111130200
5242430311112
622044451320
73346436511
oct1037253440
9327008013
10142432032
1173443326
123b849b40
132367c312
1414cb8a08
15c78713c
hex87d5720

142432032 has 48 divisors (see below), whose sum is σ = 383013792. Its totient is φ = 46318080.

The previous prime is 142432019. The next prime is 142432033. The reversal of 142432032 is 230234241.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (142432033) 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, 14158 + ... + 22029.

It is an arithmetic number, because the mean of its divisors is an integer number (7979454).

Almost surely, 2142432032 is an apocalyptic number.

142432032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

142432032 is an abundant number, since it is smaller than the sum of its proper divisors (240581760).

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

142432032 is a wasteful number, since it uses less digits than its factorization.

142432032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36241 (or 36233 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 142432032 is about 11934.4891805221. The cubic root of 142432032 is about 522.2389065105.

Adding to 142432032 its reverse (230234241), we get a palindrome (372666273).

The spelling of 142432032 in words is "one hundred forty-two million, four hundred thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 492 656 984 1312 1968 3936 36187 72374 108561 144748 217122 289496 434244 578992 868488 1157984 1483667 1736976 2967334 3473952 4451001 5934668 8902002 11869336 17804004 23738672 35608008 47477344 71216016 142432032