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142905 = 3571361
BaseRepresentation
bin100010111000111001
321021000210
4202320321
514033110
63021333
71133430
oct427071
9237023
10142905
1198404
126a849
1350079
143a117
152c520
hex22e39

142905 has 16 divisors (see below), whose sum is σ = 261504. Its totient is φ = 65280.

The previous prime is 142903. The next prime is 142907. The reversal of 142905 is 509241.

142905 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (142903) and next prime (142907).

It is not a de Polignac number, because 142905 - 21 = 142903 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

142905 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 142905.

It is not an unprimeable number, because it can be changed into a prime (142903) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 576 + ... + 785.

It is an arithmetic number, because the mean of its divisors is an integer number (16344).

2142905 is an apocalyptic number.

142905 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

142905 is a deficient number, since it is larger than the sum of its proper divisors (118599).

142905 is a wasteful number, since it uses less digits than its factorization.

142905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1376.

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 142905 is about 378.0277767572. The cubic root of 142905 is about 52.2816326696.

Subtracting from 142905 its sum of digits (21), we obtain a square (142884 = 3782).

The spelling of 142905 in words is "one hundred forty-two thousand, nine hundred five".

Divisors: 1 3 5 7 15 21 35 105 1361 4083 6805 9527 20415 28581 47635 142905