Search a number
-
+
142343136 = 253313192329
BaseRepresentation
bin10000111101111…
…11101111100000
3100220211210002000
420132333233200
5242414440021
622042524000
73345616365
oct1036775740
9326753060
10142343136
1173392561
123b806600
132364aa10
1414c9446c
15c76ab26
hex87bfbe0

142343136 has 384 divisors, whose sum is σ = 508032000. Its totient is φ = 38320128.

The previous prime is 142343111. The next prime is 142343147. The reversal of 142343136 is 631343241.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4908370 + ... + 4908398.

It is an arithmetic number, because the mean of its divisors is an integer number (1323000).

Almost surely, 2142343136 is an apocalyptic number.

142343136 is a gapful number since it is divisible by the number (16) 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 142343136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254016000).

142343136 is an abundant number, since it is smaller than the sum of its proper divisors (365688864).

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

142343136 is a wasteful number, since it uses less digits than its factorization.

142343136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 89 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 142343136 is about 11930.7642672211. The cubic root of 142343136 is about 522.1302357035.

Adding to 142343136 its reverse (631343241), we get a palindrome (773686377).

The spelling of 142343136 in words is "one hundred forty-two million, three hundred forty-three thousand, one hundred thirty-six".