| Base | Representation |
|---|---|
| bin | 1011111101011… |
| … | …10001111010000 |
| 3 | 20222210012200200 |
| 4 | 11332232033100 |
| 5 | 201141002100 |
| 6 | 13542215200 |
| 7 | 2325530424 |
| oct | 576561720 |
| 9 | 228705620 |
| 10 | 100328400 |
| 11 | 516a6237 |
| 12 | 29724500 |
| 13 | 17a2a123 |
| 14 | d478b84 |
| 15 | 8c1be00 |
| hex | 5fae3d0 |
100328400 has 270 divisors, whose sum is σ = 372166470. Its totient is φ = 24998400.
The previous prime is 100328399. The next prime is 100328401. The reversal of 100328400 is 4823001.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (100328399) and next prime (100328401).
It can be written as a sum of positive squares in 3 ways, for example, as 6780816 + 93547584 = 2604^2 + 9672^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (100328401) by changing a digit.
It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 3236385 + ... + 3236415.
Almost surely, 2100328400 is an apocalyptic number.
100328400 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 100328400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186083235).
100328400 is an abundant number, since it is smaller than the sum of its proper divisors (271838070).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100328400 is a wasteful number, since it uses less digits than its factorization.
100328400 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 115 (or 70 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
The square root of 100328400 is about 10016.4065412702. The cubic root of 100328400 is about 464.6664274321. Note that the first 3 decimals are identical.
It can be divided in two parts, 1003 and 28400, that added together give a triangular number (29403 = T242).
The spelling of 100328400 in words is "one hundred million, three hundred twenty-eight thousand, four hundred".
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