Base | Representation |
---|---|
bin | 10000111110101… |
… | …00111010110000 |
3 | 100221000012001110 |
4 | 20133110322300 |
5 | 242430223442 |
6 | 22044433320 |
7 | 3346430304 |
oct | 1037247260 |
9 | 327005043 |
10 | 142429872 |
11 | 73441742 |
12 | 3b848840 |
13 | 2367b340 |
14 | 14cb7d04 |
15 | c78669c |
hex | 87d4eb0 |
142429872 has 160 divisors (see below), whose sum is σ = 422195200. Its totient is φ = 41057280.
The previous prime is 142429867. The next prime is 142429879. The reversal of 142429872 is 278924241.
It is a happy number.
142429872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (39).
It is a self number, because there is not a number n which added to its sum of digits gives 142429872.
It is not an unprimeable number, because it can be changed into a prime (142429879) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 715629 + ... + 715827.
It is an arithmetic number, because the mean of its divisors is an integer number (2638720).
Almost surely, 2142429872 is an apocalyptic number.
142429872 is a gapful number since it is divisible by the number (12) 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 142429872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211097600).
142429872 is an abundant number, since it is smaller than the sum of its proper divisors (279765328).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
142429872 is a wasteful number, since it uses less digits than its factorization.
142429872 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 291 (or 285 counting only the distinct ones).
The product of its digits is 64512, while the sum is 39.
The square root of 142429872 is about 11934.3986861509. The cubic root of 142429872 is about 522.2362665572.
The spelling of 142429872 in words is "one hundred forty-two million, four hundred twenty-nine thousand, eight hundred seventy-two".
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