Base | Representation |
---|---|
bin | 10001000000011… |
… | …00100000000100 |
3 | 100221102202100121 |
4 | 20200030200010 |
5 | 243010020130 |
6 | 22053351324 |
7 | 3351366124 |
oct | 1040144004 |
9 | 327382317 |
10 | 142657540 |
11 | 735877a3 |
12 | 3b938544 |
13 | 2372ab5c |
14 | 14d36c84 |
15 | c7cdd7a |
hex | 880c804 |
142657540 has 48 divisors (see below), whose sum is σ = 318702384. Its totient is φ = 53452800.
The previous prime is 142657519. The next prime is 142657547. The reversal of 142657540 is 45756241.
142657540 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 8 ways, for example, as 3936256 + 138721284 = 1984^2 + 11778^2 .
It is a Harshad number since it is a multiple of its sum of digits (34).
It is a junction number, because it is equal to n+sod(n) for n = 142657496 and 142657505.
It is not an unprimeable number, because it can be changed into a prime (142657547) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81070 + ... + 82810.
It is an arithmetic number, because the mean of its divisors is an integer number (6639633).
Almost surely, 2142657540 is an apocalyptic number.
142657540 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 142657540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159351192).
142657540 is an abundant number, since it is smaller than the sum of its proper divisors (176044844).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
142657540 is a wasteful number, since it uses less digits than its factorization.
142657540 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2008 (or 2006 counting only the distinct ones).
The product of its (nonzero) digits is 33600, while the sum is 34.
The square root of 142657540 is about 11943.9331880248. The cubic root of 142657540 is about 522.5143758016.
The spelling of 142657540 in words is "one hundred forty-two million, six hundred fifty-seven thousand, five hundred forty".
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