Base | Representation |
---|---|
bin | 1111001011010000… |
… | …0000111111110000 |
3 | 101111220102111210200 |
4 | 3302310000333300 |
5 | 31320333044330 |
6 | 1512121555200 |
7 | 202644031026 |
oct | 36264007760 |
9 | 11456374720 |
10 | 4073721840 |
11 | 1800567571 |
12 | 958345b00 |
13 | 4cbc942c6 |
14 | 2a9064716 |
15 | 18c988a60 |
hex | f2d00ff0 |
4073721840 has 120 divisors (see below), whose sum is σ = 13692650400. Its totient is φ = 1085394432.
The previous prime is 4073721767. The next prime is 4073721859. The reversal of 4073721840 is 481273704.
It is a happy number.
4073721840 is a `hidden beast` number, since 407 + 3 + 72 + 184 + 0 = 666.
4073721840 is digitally balanced in base 2, 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 (120).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 4073721795 and 4073721804.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1401829 + ... + 1404731.
It is an arithmetic number, because the mean of its divisors is an integer number (114105420).
Almost surely, 24073721840 is an apocalyptic number.
4073721840 is a gapful number since it is divisible by the number (40) 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 4073721840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6846325200).
4073721840 is an abundant number, since it is smaller than the sum of its proper divisors (9618928560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4073721840 is a wasteful number, since it uses less digits than its factorization.
4073721840 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4871 (or 4862 counting only the distinct ones).
The product of its (nonzero) digits is 37632, while the sum is 36.
The square root of 4073721840 is about 63825.7145670928. The cubic root of 4073721840 is about 1597.0939228094.
The spelling of 4073721840 in words is "four billion, seventy-three million, seven hundred twenty-one thousand, eight hundred forty".
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