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142100 = 22527229
BaseRepresentation
bin100010101100010100
321012220222
4202230110
514021400
63013512
71131200
oct425424
9235828
10142100
1197842
126a298
134c8aa
1439b00
152c185
hex22b14

142100 has 54 divisors (see below), whose sum is σ = 371070. Its totient is φ = 47040.

The previous prime is 142099. The next prime is 142111. The reversal of 142100 is 1241.

142100 = T49 + T50 + ... + T98.

142100 = 83 + 93 + ... + 273.

It can be written as a sum of positive squares in 3 ways, for example, as 9604 + 132496 = 98^2 + 364^2 .

It is an Ulam number.

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 4886 + ... + 4914.

2142100 is an apocalyptic number.

142100 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 142100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185535).

142100 is an abundant number, since it is smaller than the sum of its proper divisors (228970).

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

142100 is a wasteful number, since it uses less digits than its factorization.

142100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 142100 is about 376.9615364994. The cubic root of 142100 is about 52.1832783108.

Adding to 142100 its reverse (1241), we get a palindrome (143341).

It can be divided in two parts, 142 and 100, that added together give a palindrome (242).

The spelling of 142100 in words is "one hundred forty-two thousand, one hundred", and thus it is an iban number.

Divisors: 1 2 4 5 7 10 14 20 25 28 29 35 49 50 58 70 98 100 116 140 145 175 196 203 245 290 350 406 490 580 700 725 812 980 1015 1225 1421 1450 2030 2450 2842 2900 4060 4900 5075 5684 7105 10150 14210 20300 28420 35525 71050 142100