Base | Representation |
---|---|
bin | 1100101101101… |
… | …01111111100100 |
3 | 21102200110112000 |
4 | 12112311333210 |
5 | 204300322440 |
6 | 14325525300 |
7 | 2433344445 |
oct | 626657744 |
9 | 242613460 |
10 | 106651620 |
11 | 55224a39 |
12 | 2b873830 |
13 | 1913228a |
14 | 102432cc |
15 | 956a730 |
hex | 65b5fe4 |
106651620 has 96 divisors (see below), whose sum is σ = 333392640. Its totient is φ = 28304640.
The previous prime is 106651603. The next prime is 106651631. The reversal of 106651620 is 26156601.
It is a happy number.
106651620 is a `hidden beast` number, since 1 + 0 + 6 + 651 + 6 + 2 + 0 = 666.
It is a super-2 number, since 2×1066516202 = 22749136097248800, which contains 22 as substring.
It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 168705 + ... + 169335.
It is an arithmetic number, because the mean of its divisors is an integer number (3472840).
Almost surely, 2106651620 is an apocalyptic number.
106651620 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 106651620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166696320).
106651620 is an abundant number, since it is smaller than the sum of its proper divisors (226741020).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106651620 is a wasteful number, since it uses less digits than its factorization.
106651620 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 962 (or 954 counting only the distinct ones).
The product of its (nonzero) digits is 2160, while the sum is 27.
The square root of 106651620 is about 10327.2271205779. The cubic root of 106651620 is about 474.2301398051.
The spelling of 106651620 in words is "one hundred six million, six hundred fifty-one thousand, six hundred twenty".
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