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142240320 = 26335101163
BaseRepresentation
bin10000111101001…
…10101001000000
3100220122120001000
420132212221000
5242403142240
622040412000
73345010545
oct1036465100
9326576030
10142240320
1173322292
123b777000
1323612c91
1414c68bcc
15c74a430
hex87a6a40

142240320 has 224 divisors, whose sum is σ = 509869440. Its totient is φ = 37324800.

The previous prime is 142240297. The next prime is 142240361. The reversal of 142240320 is 23042241.

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

It is a junction number, because it is equal to n+sod(n) for n = 142240293 and 142240302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 872559 + ... + 872721.

Almost surely, 2142240320 is an apocalyptic number.

142240320 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 142240320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254934720).

142240320 is an abundant number, since it is smaller than the sum of its proper divisors (367629120).

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

142240320 is a wasteful number, since it uses less digits than its factorization.

142240320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 142240320 is about 11926.4546282623. The cubic root of 142240320 is about 522.0044919682.

Adding to 142240320 its reverse (23042241), we get a palindrome (165282561).

The spelling of 142240320 in words is "one hundred forty-two million, two hundred forty thousand, three hundred twenty".