Base | Representation |
---|---|
bin | 1100101011000… |
… | …01000011111000 |
3 | 21102000210022102 |
4 | 12111201003320 |
5 | 204203204421 |
6 | 14314242532 |
7 | 2430365300 |
oct | 625410370 |
9 | 242023272 |
10 | 106303736 |
11 | 55007630 |
12 | 2b726448 |
13 | 1903cb26 |
14 | 10192600 |
15 | 94ec60b |
hex | 65610f8 |
106303736 has 96 divisors (see below), whose sum is σ = 256705200. Its totient is φ = 40803840.
The previous prime is 106303721. The next prime is 106303739. The reversal of 106303736 is 637303601.
It is a super-2 number, since 2×1063037362 = 22600968575115392, which contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 106303699 and 106303708.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (106303739) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 383630 + ... + 383906.
Almost surely, 2106303736 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 106303736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128352600).
106303736 is an abundant number, since it is smaller than the sum of its proper divisors (150401464).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106303736 is a wasteful number, since it uses less digits than its factorization.
106303736 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 397 (or 386 counting only the distinct ones).
The product of its (nonzero) digits is 6804, while the sum is 29.
The square root of 106303736 is about 10310.3703134272. The cubic root of 106303736 is about 473.7139520472.
The spelling of 106303736 in words is "one hundred six million, three hundred three thousand, seven hundred thirty-six".
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