Base | Representation |
---|---|
bin | 1100101100001… |
… | …11001110001110 |
3 | 21102022201201200 |
4 | 12112013032032 |
5 | 204223210141 |
6 | 14321450330 |
7 | 2431616100 |
oct | 626071616 |
9 | 242281650 |
10 | 106460046 |
11 | 55104010 |
12 | 2b7a09a6 |
13 | 19096014 |
14 | 101d3570 |
15 | 952dab6 |
hex | 658738e |
106460046 has 72 divisors (see below), whose sum is σ = 292742424. Its totient is φ = 27649440.
The previous prime is 106460041. The next prime is 106460051. The reversal of 106460046 is 640064601.
106460046 is a `hidden beast` number, since 10 + 6 + 4 + 600 + 46 = 666.
It is an interprime number because it is at equal distance from previous prime (106460041) and next prime (106460051).
It is a super-2 number, since 2×1064600462 = 22667482788644232, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (106460041) by changing a digit.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4216 + ... + 15188.
It is an arithmetic number, because the mean of its divisors is an integer number (4065867).
Almost surely, 2106460046 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 106460046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146371212).
106460046 is an abundant number, since it is smaller than the sum of its proper divisors (186282378).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106460046 is a wasteful number, since it uses less digits than its factorization.
106460046 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 11006 (or 10996 counting only the distinct ones).
The product of its (nonzero) digits is 3456, while the sum is 27.
The square root of 106460046 is about 10317.9477610618. The cubic root of 106460046 is about 473.9460228019.
The spelling of 106460046 in words is "one hundred six million, four hundred sixty thousand, forty-six".
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