Base | Representation |
---|---|
bin | 10000111000000000000000 |
3 | 22022202011000 |
4 | 100320000000 |
5 | 2113024210 |
6 | 234452000 |
7 | 52413012 |
oct | 20700000 |
9 | 8282130 |
10 | 4423680 |
11 | 2551638 |
12 | 1594000 |
13 | bbb681 |
14 | 8321b2 |
15 | 5c5ac0 |
hex | 438000 |
4423680 has 128 divisors (see below), whose sum is σ = 15728400. Its totient is φ = 1179648.
The previous prime is 4423673. The next prime is 4423681. The reversal of 4423680 is 863244.
It is a Jordan-Polya number, since it can be written as 6! ⋅ 4! ⋅ (2!)8.
It is a tau number, because it is divible by the number of its divisors (128).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (4423681) 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, 884734 + ... + 884738.
Almost surely, 24423680 is an apocalyptic number.
4423680 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 4423680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7864200).
4423680 is an abundant number, since it is smaller than the sum of its proper divisors (11304720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4423680 is an frugal number, since it uses more digits than its factorization.
4423680 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 44 (or 10 counting only the distinct ones).
The product of its (nonzero) digits is 4608, while the sum is 27.
The square root of 4423680 is about 2103.2546208198. The cubic root of 4423680 is about 164.1576908810.
The spelling of 4423680 in words is "four million, four hundred twenty-three thousand, six hundred eighty".
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