Base | Representation |
---|---|
bin | 111100011111111101000 |
3 | 10201201101201 |
4 | 13203333220 |
5 | 1001414230 |
6 | 110253544 |
7 | 22564465 |
oct | 7437750 |
9 | 3651351 |
10 | 1982440 |
11 | 1134489 |
12 | 7b72b4 |
13 | 545455 |
14 | 39866c |
15 | 2925ca |
hex | 1e3fe8 |
1982440 has 32 divisors (see below), whose sum is σ = 4617000. Its totient is φ = 765184.
The previous prime is 1982437. The next prime is 1982443. The reversal of 1982440 is 442891.
It is an interprime number because it is at equal distance from previous prime (1982437) and next prime (1982443).
It can be written as a sum of positive squares in 4 ways, for example, as 1313316 + 669124 = 1146^2 + 818^2 .
It is an Ulam number.
It is a plaindrome in base 11.
It is a junction number, because it is equal to n+sod(n) for n = 1982399 and 1982408.
It is not an unprimeable number, because it can be changed into a prime (1982443) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 306 + ... + 2014.
21982440 is an apocalyptic number.
1982440 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 1982440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2308500).
1982440 is an abundant number, since it is smaller than the sum of its proper divisors (2634560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1982440 is a wasteful number, since it uses less digits than its factorization.
1982440 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1749 (or 1745 counting only the distinct ones).
The product of its (nonzero) digits is 2304, while the sum is 28.
The square root of 1982440 is about 1407.9914772469. The cubic root of 1982440 is about 125.6222836306.
The spelling of 1982440 in words is "one million, nine hundred eighty-two thousand, four hundred forty".
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