Base | Representation |
---|---|
bin | 111100011011000111100 |
3 | 10201121000000 |
4 | 13203120330 |
5 | 1001324324 |
6 | 110234300 |
7 | 22554330 |
oct | 7433074 |
9 | 3647000 |
10 | 1979964 |
11 | 1132638 |
12 | 7b5990 |
13 | 54429c |
14 | 3977c0 |
15 | 2919c9 |
hex | 1e363c |
1979964 has 84 divisors (see below), whose sum is σ = 5998384. Its totient is φ = 559872.
The previous prime is 1979947. The next prime is 1979993. The reversal of 1979964 is 4699791.
1979964 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (84).
It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.
It is a nude number because it is divisible by every one of its digits.
Its product of digits (122472) is a multiple of the sum of its prime factors (126).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 20364 + ... + 20460.
21979964 is an apocalyptic number.
1979964 is a gapful number since it is divisible by the number (14) 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 1979964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2999192).
1979964 is an abundant number, since it is smaller than the sum of its proper divisors (4018420).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1979964 is an equidigital number, since it uses as much as digits as its factorization.
1979964 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 126 (or 109 counting only the distinct ones).
The product of its digits is 122472, while the sum is 45.
The square root of 1979964 is about 1407.1119358459. Note that the first 3 decimals coincide. The cubic root of 1979964 is about 125.5699625251.
The spelling of 1979964 in words is "one million, nine hundred seventy-nine thousand, nine hundred sixty-four".
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