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142902 = 23217467
BaseRepresentation
bin100010111000110110
321021000200
4202320312
514033102
63021330
71133424
oct427066
9237020
10142902
1198401
126a846
1350076
143a114
152c51c
hex22e36

142902 has 24 divisors (see below), whose sum is σ = 328536. Its totient is φ = 44736.

The previous prime is 142897. The next prime is 142903. The reversal of 142902 is 209241.

142902 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 142902.

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 11 ways as a sum of consecutive naturals, for example, 73 + ... + 539.

It is an arithmetic number, because the mean of its divisors is an integer number (13689).

2142902 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142902, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164268).

142902 is an abundant number, since it is smaller than the sum of its proper divisors (185634).

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

142902 is a wasteful number, since it uses less digits than its factorization.

142902 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 142902 is about 378.0238087740. The cubic root of 142902 is about 52.2812668182.

Subtracting from 142902 its sum of digits (18), we obtain a square (142884 = 3782).

It can be divided in two parts, 14 and 2902, that added together give a square (2916 = 542).

The spelling of 142902 in words is "one hundred forty-two thousand, nine hundred two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 467 934 1401 2802 4203 7939 8406 15878 23817 47634 71451 142902