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142020 = 22335263
BaseRepresentation
bin100010101011000100
321012211000
4202223010
514021040
63013300
71131024
oct425304
9235730
10142020
119777a
126a230
134c848
1439a84
152c130
hex22ac4

142020 has 48 divisors (see below), whose sum is σ = 443520. Its totient is φ = 37728.

The previous prime is 142019. The next prime is 142031. The reversal of 142020 is 20241.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 141993 and 142011.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 409 + ... + 671.

It is an arithmetic number, because the mean of its divisors is an integer number (9240).

2142020 is an apocalyptic number.

142020 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 142020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221760).

142020 is an abundant number, since it is smaller than the sum of its proper divisors (301500).

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

142020 is a wasteful number, since it uses less digits than its factorization.

142020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 142020 is about 376.8554099386. The cubic root of 142020 is about 52.1734836921.

Adding to 142020 its reverse (20241), we get a palindrome (162261).

The spelling of 142020 in words is "one hundred forty-two thousand, twenty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 263 270 526 540 789 1052 1315 1578 2367 2630 3156 3945 4734 5260 7101 7890 9468 11835 14202 15780 23670 28404 35505 47340 71010 142020