Base | Representation |
---|---|
bin | 1100101010010… |
… | …00001000010100 |
3 | 21101211121020100 |
4 | 12111020020110 |
5 | 204141422440 |
6 | 14312134100 |
7 | 2426461500 |
oct | 625101024 |
9 | 241747210 |
10 | 106201620 |
11 | 54a47938 |
12 | 2b697330 |
13 | 190054c5 |
14 | 10167300 |
15 | 94cc230 |
hex | 6548214 |
106201620 has 108 divisors (see below), whose sum is σ = 374771124. Its totient is φ = 24272640.
The previous prime is 106201607. The next prime is 106201639. The reversal of 106201620 is 26102601.
It is a happy number.
106201620 is a `hidden beast` number, since 10 + 620 + 16 + 20 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 52794756 + 53406864 = 7266^2 + 7308^2 .
It is a super-2 number, since 2×1062016202 = 22557568181248800, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 106201593 and 106201602.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2800 + ... + 14840.
It is an arithmetic number, because the mean of its divisors is an integer number (3470103).
Almost surely, 2106201620 is an apocalyptic number.
106201620 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 106201620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187385562).
106201620 is an abundant number, since it is smaller than the sum of its proper divisors (268569504).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106201620 is a wasteful number, since it uses less digits than its factorization.
106201620 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12070 (or 12058 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
The square root of 106201620 is about 10305.4170221297. The cubic root of 106201620 is about 473.5622193067.
The spelling of 106201620 in words is "one hundred six million, two hundred one thousand, six hundred twenty".
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