Base | Representation |
---|---|
bin | 1011111110000… |
… | …00110001100000 |
3 | 20222221001211112 |
4 | 11333000301200 |
5 | 201200414240 |
6 | 13544002452 |
7 | 2326264652 |
oct | 577006140 |
9 | 228831745 |
10 | 100404320 |
11 | 51748285 |
12 | 29760428 |
13 | 17a55853 |
14 | d4986d2 |
15 | 8c34665 |
hex | 5fc0c60 |
100404320 has 48 divisors (see below), whose sum is σ = 238584528. Its totient is φ = 39928320.
The previous prime is 100404299. The next prime is 100404331. The reversal of 100404320 is 23404001.
It is a junction number, because it is equal to n+sod(n) for n = 100404295 and 100404304.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27227 + ... + 30693.
It is an arithmetic number, because the mean of its divisors is an integer number (4970511).
Almost surely, 2100404320 is an apocalyptic number.
100404320 is a gapful number since it is divisible by the number (10) 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 100404320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119292264).
100404320 is an abundant number, since it is smaller than the sum of its proper divisors (138180208).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100404320 is a wasteful number, since it uses less digits than its factorization.
100404320 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3663 (or 3655 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 14.
The square root of 100404320 is about 10020.1956068732. The cubic root of 100404320 is about 464.7836045577.
Adding to 100404320 its reverse (23404001), we get a palindrome (123808321).
The spelling of 100404320 in words is "one hundred million, four hundred four thousand, three hundred twenty".
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