Search a number
-
+
142264704 = 27317193137
BaseRepresentation
bin10000111101011…
…00100110000000
3100220200210111010
420132230212000
5242404432304
622041120520
73345141621
oct1036544600
9326623433
10142264704
117333963a
123b789140
13236210ca
1414c73a48
15c752789
hex87ac980

142264704 has 256 divisors, whose sum is σ = 446515200. Its totient is φ = 39813120.

The previous prime is 142264697. The next prime is 142264709. The reversal of 142264704 is 407462241.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142264709) by changing a digit.

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, 3844974 + ... + 3845010.

It is an arithmetic number, because the mean of its divisors is an integer number (1744200).

Almost surely, 2142264704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142264704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223257600).

142264704 is an abundant number, since it is smaller than the sum of its proper divisors (304250496).

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

142264704 is a wasteful number, since it uses less digits than its factorization.

142264704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 142264704 is about 11927.4768496946. The cubic root of 142264704 is about 522.0343190249.

The spelling of 142264704 in words is "one hundred forty-two million, two hundred sixty-four thousand, seven hundred four".