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142032 = 24311269
BaseRepresentation
bin100010101011010000
321012211110
4202223100
514021112
63013320
71131042
oct425320
9235743
10142032
1197790
126a240
134c857
1439a92
152c13c
hex22ad0

142032 has 40 divisors (see below), whose sum is σ = 401760. Its totient is φ = 42880.

The previous prime is 142031. The next prime is 142039. The reversal of 142032 is 230241.

Adding to 142032 its reverse (230241), we get a palindrome (372273).

Subtracting 142032 from its reverse (230241), we obtain a square (88209 = 2972).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 141999 and 142017.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 142032.

It is not an unprimeable number, because it can be changed into a prime (142031) 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, 394 + ... + 662.

It is an arithmetic number, because the mean of its divisors is an integer number (10044).

2142032 is an apocalyptic number.

142032 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 142032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200880).

142032 is an abundant number, since it is smaller than the sum of its proper divisors (259728).

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

142032 is a wasteful number, since it uses less digits than its factorization.

142032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 142032 is about 376.8713308279. The cubic root of 142032 is about 52.1749531194.

The spelling of 142032 in words is "one hundred forty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 269 528 538 807 1076 1614 2152 2959 3228 4304 5918 6456 8877 11836 12912 17754 23672 35508 47344 71016 142032