Base | Representation |
---|---|
bin | 1010110100000… |
… | …01010110000000 |
3 | 20022200102001200 |
4 | 11122001112000 |
5 | 141210113303 |
6 | 13000101200 |
7 | 2150666565 |
oct | 532012600 |
9 | 208612050 |
10 | 90707328 |
11 | 47224838 |
12 | 26464800 |
13 | 15a3bb9a |
14 | c09286c |
15 | 7e6b3a3 |
hex | 5681580 |
90707328 has 96 divisors (see below), whose sum is σ = 264934800. Its totient is φ = 29783040.
The previous prime is 90707317. The next prime is 90707329. The reversal of 90707328 is 82370709.
It is a tau number, because it is divible by the number of its divisors (96).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 90707292 and 90707301.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (90707329) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81238 + ... + 82346.
Almost surely, 290707328 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 90707328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132467400).
90707328 is an abundant number, since it is smaller than the sum of its proper divisors (174227472).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
90707328 is a wasteful number, since it uses less digits than its factorization.
90707328 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1200 (or 1185 counting only the distinct ones).
The product of its (nonzero) digits is 21168, while the sum is 36.
The square root of 90707328 is about 9524.0394791286. The cubic root of 90707328 is about 449.3114209646.
The spelling of 90707328 in words is "ninety million, seven hundred seven thousand, three hundred twenty-eight".
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