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142233126 = 237191371301
BaseRepresentation
bin10000111101001…
…00111000100110
3100220122012011120
420132210320212
5242402430001
622040314410
73344650560
oct1036447046
9326565146
10142233126
1173317942
123b772a06
132360c919
1414c66330
15c748236
hex87a4e26

142233126 has 64 divisors (see below), whose sum is σ = 344977920. Its totient is φ = 38188800.

The previous prime is 142233109. The next prime is 142233163. The reversal of 142233126 is 621332241.

142233126 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 142233096 and 142233105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108676 + ... + 109976.

It is an arithmetic number, because the mean of its divisors is an integer number (5390280).

Almost surely, 2142233126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142233126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172488960).

142233126 is an abundant number, since it is smaller than the sum of its proper divisors (202744794).

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

142233126 is a wasteful number, since it uses less digits than its factorization.

142233126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1469.

The product of its digits is 1728, while the sum is 24.

The square root of 142233126 is about 11926.1530260181. The cubic root of 142233126 is about 521.9956914546.

Adding to 142233126 its reverse (621332241), we get a palindrome (763565367).

The spelling of 142233126 in words is "one hundred forty-two million, two hundred thirty-three thousand, one hundred twenty-six".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 137 266 274 399 411 798 822 959 1301 1918 2602 2603 2877 3903 5206 5754 7806 7809 9107 15618 18214 18221 24719 27321 36442 49438 54642 54663 74157 109326 148314 173033 178237 346066 356474 519099 534711 1038198 1069422 1247659 2495318 3386503 3742977 6773006 7485954 10159509 20319018 23705521 47411042 71116563 142233126