Base | Representation |
---|---|
bin | 100010000010011… |
… | …1011010101110000 |
3 | 2221121010211201102 |
4 | 1010010323111300 |
5 | 4314342023240 |
6 | 305200023532 |
7 | 40206022664 |
oct | 10404732560 |
9 | 2847124642 |
10 | 1142142320 |
11 | 536789480 |
12 | 27a601ba8 |
13 | 152817677 |
14 | ab98c8a4 |
15 | 6a40c815 |
hex | 4413b570 |
1142142320 has 80 divisors (see below), whose sum is σ = 2903251680. Its totient is φ = 414412800.
The previous prime is 1142142317. The next prime is 1142142341. The reversal of 1142142320 is 232412411.
It is a tau number, because it is divible by the number of its divisors (80).
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a junction number, because it is equal to n+sod(n) for n = 1142142292 and 1142142301.
It is a congruent number.
It is an unprimeable number.
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 15 ways as a sum of consecutive naturals, for example, 499580 + ... + 501860.
It is an arithmetic number, because the mean of its divisors is an integer number (36290646).
Almost surely, 21142142320 is an apocalyptic number.
1142142320 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 1142142320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451625840).
1142142320 is an abundant number, since it is smaller than the sum of its proper divisors (1761109360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1142142320 is a wasteful number, since it uses less digits than its factorization.
1142142320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2874 (or 2868 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 20.
The square root of 1142142320 is about 33795.5961628139. The cubic root of 1142142320 is about 1045.2978920735.
Adding to 1142142320 its reverse (232412411), we get a palindrome (1374554731).
The spelling of 1142142320 in words is "one billion, one hundred forty-two million, one hundred forty-two thousand, three hundred twenty".
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