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142820 = 22537193
BaseRepresentation
bin100010110111100100
321020220122
4202313210
514032240
63021112
71133246
oct426744
9236818
10142820
1198337
126a798
1350012
143a096
152c4b5
hex22de4

142820 has 24 divisors (see below), whose sum is σ = 309624. Its totient is φ = 55296.

The previous prime is 142811. The next prime is 142837. The reversal of 142820 is 28241.

142820 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 4 ways, for example, as 23104 + 119716 = 152^2 + 346^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 644 + ... + 836.

It is an arithmetic number, because the mean of its divisors is an integer number (12901).

2142820 is an apocalyptic number.

142820 is a gapful number since it is divisible by the number (10) 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 142820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154812).

142820 is an abundant number, since it is smaller than the sum of its proper divisors (166804).

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

142820 is a wasteful number, since it uses less digits than its factorization.

142820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 142820 is about 377.9153344335. The cubic root of 142820 is about 52.2712648958.

The spelling of 142820 in words is "one hundred forty-two thousand, eight hundred twenty".