| Base | Representation |
|---|---|
| bin | 1100111010001… |
| … | …00011100100000 |
| 3 | 21112202101021200 |
| 4 | 12131010130200 |
| 5 | 210210034210 |
| 6 | 14424521200 |
| 7 | 2453252601 |
| oct | 635043440 |
| 9 | 245671250 |
| 10 | 108283680 |
| 11 | 5613a14a |
| 12 | 30320200 |
| 13 | 195840ab |
| 14 | 10549da8 |
| 15 | 978e0c0 |
| hex | 6744720 |
108283680 has 144 divisors (see below), whose sum is σ = 382407480. Its totient is φ = 27869184.
The previous prime is 108283673. The next prime is 108283687. The reversal of 108283680 is 86382801.
It is an interprime number because it is at equal distance from previous prime (108283673) and next prime (108283687).
It can be written as a sum of positive squares in 4 ways, for example, as 91929744 + 16353936 = 9588^2 + 4044^2 .
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (108283687) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40464 + ... + 43056.
Almost surely, 2108283680 is an apocalyptic number.
108283680 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 108283680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191203740).
108283680 is an abundant number, since it is smaller than the sum of its proper divisors (274123800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
108283680 is a wasteful number, since it uses less digits than its factorization.
108283680 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2643 (or 2632 counting only the distinct ones).
The product of its (nonzero) digits is 18432, while the sum is 36.
The square root of 108283680 is about 10405.9444549738. The cubic root of 108283680 is about 476.6369083959.
The spelling of 108283680 in words is "one hundred eight million, two hundred eighty-three thousand, six hundred eighty".
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