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142884 = 223672
BaseRepresentation
bin100010111000100100
321021000000
4202320210
514033014
63021300
71133400
oct427044
9237000
10142884
1198395
126a830
1350061
143a100
152c509
hex22e24

142884 has 63 divisors (see below), whose sum is σ = 436107. Its totient is φ = 40824.

The previous prime is 142873. The next prime is 142897. The reversal of 142884 is 488241.

142884 = T377 + T378.

142884 = 13 + 23 + ... + 273.

The square root of 142884 is 378.

It is a perfect power (a square), and thus also a powerful number.

It is a tau number, because it is divible by the number of its divisors (63).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 142884.

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 20 ways as a sum of consecutive naturals, for example, 20409 + ... + 20415.

142884 is a Friedman number, since it can be written as (42*(8+1))^(8/4), using all its digits and the basic arithmetic operations.

2142884 is an apocalyptic number.

142884 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

142884 is the 378-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142884

142884 is an abundant number, since it is smaller than the sum of its proper divisors (293223).

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

142884 is an equidigital number, since it uses as much as digits as its factorization.

142884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36 (or 12 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The cubic root of 142884 is about 52.2790716021.

The spelling of 142884 in words is "one hundred forty-two thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 243 252 294 324 378 441 486 567 588 729 756 882 972 1134 1323 1458 1701 1764 2268 2646 2916 3402 3969 5103 5292 6804 7938 10206 11907 15876 20412 23814 35721 47628 71442 142884