Base | Representation |
---|---|
bin | 100010000011011… |
… | …0010110001110100 |
3 | 2221122001200210200 |
4 | 1010012302301310 |
5 | 4320003202130 |
6 | 305214320500 |
7 | 40213131201 |
oct | 10406626164 |
9 | 2848050720 |
10 | 1142631540 |
11 | 536a92a96 |
12 | 27a7b9130 |
13 | 15295924b |
14 | aba78ca8 |
15 | 6a4a7760 |
hex | 441b2c74 |
1142631540 has 144 divisors (see below), whose sum is σ = 3684674448. Its totient is φ = 285622272.
The previous prime is 1142631527. The next prime is 1142631541. The reversal of 1142631540 is 451362411.
It is a happy number.
1142631540 is a `hidden beast` number, since 114 + 2 + 6 + 3 + 1 + 540 = 666.
It can be written as a sum of positive squares in 8 ways, for example, as 80784144 + 1061847396 = 8988^2 + 32586^2 .
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1142631541) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 957184 + ... + 958376.
It is an arithmetic number, because the mean of its divisors is an integer number (25588017).
Almost surely, 21142631540 is an apocalyptic number.
1142631540 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 1142631540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1842337224).
1142631540 is an abundant number, since it is smaller than the sum of its proper divisors (2542042908).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1142631540 is a wasteful number, since it uses less digits than its factorization.
1142631540 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1538 (or 1533 counting only the distinct ones).
The product of its (nonzero) digits is 2880, while the sum is 27.
The square root of 1142631540 is about 33802.8333132002. The cubic root of 1142631540 is about 1045.4471168035.
Adding to 1142631540 its reverse (451362411), we get a palindrome (1593993951).
The spelling of 1142631540 in words is "one billion, one hundred forty-two million, six hundred thirty-one thousand, five hundred forty".
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