Base | Representation |
---|---|
bin | 1111010100011100000 |
3 | 221111121000 |
4 | 1322203200 |
5 | 112030414 |
6 | 14432000 |
7 | 4160340 |
oct | 1724340 |
9 | 844530 |
10 | 501984 |
11 | 31316a |
12 | 202600 |
13 | 147642 |
14 | d0d20 |
15 | 9db09 |
hex | 7a8e0 |
501984 has 96 divisors (see below), whose sum is σ = 1693440. Its totient is φ = 141696.
The previous prime is 501971. The next prime is 501997. The reversal of 501984 is 489105.
It is an interprime number because it is at equal distance from previous prime (501971) and next prime (501997).
It is a tau number, because it is divible by the number of its divisors (96).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 501984.
It is an unprimeable number.
501984 is an untouchable number, because it is not equal to the sum of proper divisors of any number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6007 + ... + 6089.
It is an arithmetic number, because the mean of its divisors is an integer number (17640).
2501984 is an apocalyptic number.
501984 is a gapful number since it is divisible by the number (54) 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 501984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846720).
501984 is an abundant number, since it is smaller than the sum of its proper divisors (1191456).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
501984 is a wasteful number, since it uses less digits than its factorization.
501984 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 109 (or 95 counting only the distinct ones).
The product of its (nonzero) digits is 1440, while the sum is 27.
The square root of 501984 is about 708.5082921180. The cubic root of 501984 is about 79.4748941729.
It can be divided in two parts, 501 and 984, that added together give a triangular number (1485 = T54).
The spelling of 501984 in words is "five hundred one thousand, nine hundred eighty-four".
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