Base | Representation |
---|---|
bin | 1100101111110… |
… | …01000100110000 |
3 | 21110012102102110 |
4 | 12113321010300 |
5 | 204333121014 |
6 | 14335445320 |
7 | 2435600505 |
oct | 627710460 |
9 | 243172373 |
10 | 106926384 |
11 | 553a2414 |
12 | 2b986840 |
13 | 191ca366 |
14 | 102b54ac |
15 | 95c1d59 |
hex | 65f9130 |
106926384 has 80 divisors (see below), whose sum is σ = 282839040. Its totient is φ = 34801920.
The previous prime is 106926383. The next prime is 106926389. The reversal of 106926384 is 483629601.
It is a super-2 number, since 2×1069263842 = 22866503190630912, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (106926383) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 559729 + ... + 559919.
It is an arithmetic number, because the mean of its divisors is an integer number (3535488).
Almost surely, 2106926384 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 106926384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141419520).
106926384 is an abundant number, since it is smaller than the sum of its proper divisors (175912656).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106926384 is a wasteful number, since it uses less digits than its factorization.
106926384 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 418 (or 412 counting only the distinct ones).
The product of its (nonzero) digits is 62208, while the sum is 39.
The square root of 106926384 is about 10340.5214568705. The cubic root of 106926384 is about 474.6370398052.
The spelling of 106926384 in words is "one hundred six million, nine hundred twenty-six thousand, three hundred eighty-four".
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