Base | Representation |
---|---|
bin | 1001110010101… |
… | …10100111010100 |
3 | 12201120022222021 |
4 | 10321112213110 |
5 | 132012044300 |
6 | 12052342524 |
7 | 2015132002 |
oct | 471264724 |
9 | 181508867 |
10 | 82143700 |
11 | 42405861 |
12 | 23614a44 |
13 | 14031052 |
14 | aca3a72 |
15 | 7328d1a |
hex | 4e569d4 |
82143700 has 54 divisors (see below), whose sum is σ = 184306346. Its totient is φ = 31754880.
The previous prime is 82143679. The next prime is 82143703. The reversal of 82143700 is 734128.
It can be written as a sum of positive squares in 9 ways, for example, as 37601424 + 44542276 = 6132^2 + 6674^2 .
It is a Harshad number since it is a multiple of its sum of digits (25).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (82143703) by changing a digit.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 551226 + ... + 551374.
Almost surely, 282143700 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 82143700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92153173).
82143700 is an abundant number, since it is smaller than the sum of its proper divisors (102162646).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
82143700 is a wasteful number, since it uses less digits than its factorization.
82143700 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 349 (or 193 counting only the distinct ones).
The product of its (nonzero) digits is 1344, while the sum is 25.
The square root of 82143700 is about 9063.3161701443. The cubic root of 82143700 is about 434.7017817722.
Adding to 82143700 its reverse (734128), we get a palindrome (82877828).
It can be divided in two parts, 821 and 43700, that added together give a square (44521 = 2112).
The spelling of 82143700 in words is "eighty-two million, one hundred forty-three thousand, seven hundred".
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