Base | Representation |
---|---|
bin | 10000110010011101101000 |
3 | 22021121001000 |
4 | 100302131220 |
5 | 2111313000 |
6 | 234155000 |
7 | 52256622 |
oct | 20623550 |
9 | 8247030 |
10 | 4401000 |
11 | 253659a |
12 | 1582a60 |
13 | bb1256 |
14 | 827c12 |
15 | 5be000 |
hex | 432768 |
4401000 has 128 divisors (see below), whose sum is σ = 15350400. Its totient is φ = 1166400.
The previous prime is 4400993. The next prime is 4401043. The reversal of 4401000 is 1044.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26919 + ... + 27081.
It is an arithmetic number, because the mean of its divisors is an integer number (119925).
Almost surely, 24401000 is an apocalyptic number.
4401000 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 4401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7675200).
4401000 is an abundant number, since it is smaller than the sum of its proper divisors (10949400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4401000 is a wasteful number, since it uses less digits than its factorization.
4401000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 193 (or 173 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 9.
The square root of 4401000 is about 2097.8560484457. The cubic root of 4401000 is about 163.8766671384.
Adding to 4401000 its reverse (1044), we get a palindrome (4402044).
The spelling of 4401000 in words is "four million, four hundred one thousand".
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