Search a number
-
+
142463520 = 253251941127
BaseRepresentation
bin10000111110111…
…01001000100000
3100221001220012200
420133131020200
5242432313040
622045253200
73346630353
oct1037351040
9327056180
10142463520
1173464a51
123b864200
1323690754
1414cc629a
15c791630
hex87dd220

142463520 has 288 divisors, whose sum is σ = 528353280. Its totient is φ = 34836480.

The previous prime is 142463509. The next prime is 142463521. The reversal of 142463520 is 25364241.

142463520 is a `hidden beast` number, since 1 + 4 + 2 + 4 + 635 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (142463521) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1121697 + ... + 1121823.

It is an arithmetic number, because the mean of its divisors is an integer number (1834560).

Almost surely, 2142463520 is an apocalyptic number.

142463520 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 142463520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264176640).

142463520 is an abundant number, since it is smaller than the sum of its proper divisors (385889760).

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

142463520 is a wasteful number, since it uses less digits than its factorization.

142463520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 142463520 is about 11935.8083094527. The cubic root of 142463520 is about 522.2773881330.

It can be divided in two parts, 14246 and 3520, that added together give a triangular number (17766 = T188).

The spelling of 142463520 in words is "one hundred forty-two million, four hundred sixty-three thousand, five hundred twenty".