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142872 = 2335953
BaseRepresentation
bin100010111000011000
321020222120
4202320120
514032442
63021240
71133352
oct427030
9236876
10142872
1198384
126a820
1350052
143a0d2
152c4ec
hex22e18

142872 has 16 divisors (see below), whose sum is σ = 357240. Its totient is φ = 47616.

The previous prime is 142871. The next prime is 142873. The reversal of 142872 is 278241.

It is an interprime number because it is at equal distance from previous prime (142871) and next prime (142873).

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 5953 = 142872 / (1 + 4 + 2 + 8 + 7 + 2).

It is an Ulam number.

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 142872.

It is not an unprimeable number, because it can be changed into a prime (142871) 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 3 ways as a sum of consecutive naturals, for example, 2953 + ... + 3000.

2142872 is an apocalyptic number.

142872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

142872 is an abundant number, since it is smaller than the sum of its proper divisors (214368).

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

142872 is a wasteful number, since it uses less digits than its factorization.

142872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5962 (or 5958 counting only the distinct ones).

The product of its digits is 896, while the sum is 24.

The square root of 142872 is about 377.9841266508. The cubic root of 142872 is about 52.2776080222.

The spelling of 142872 in words is "one hundred forty-two thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 24 5953 11906 17859 23812 35718 47624 71436 142872