Base | Representation |
---|---|
bin | 1100101010000… |
… | …01001001011100 |
3 | 21101210011000002 |
4 | 12111001021130 |
5 | 204140014040 |
6 | 14311353432 |
7 | 2426312222 |
oct | 625011134 |
9 | 241704002 |
10 | 106173020 |
11 | 54a283a8 |
12 | 2b682878 |
13 | 18cc5495 |
14 | 1015ab12 |
15 | 94c3a15 |
hex | 654125c |
106173020 has 24 divisors (see below), whose sum is σ = 228150384. Its totient is φ = 41481216.
The previous prime is 106172993. The next prime is 106173029. The reversal of 106173020 is 20371601.
It is a happy number.
It is a super-2 number, since 2×1061730202 = 22545420351840800, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a junction number, because it is equal to n+sod(n) for n = 106172983 and 106173001.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (106173029) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60869 + ... + 62588.
It is an arithmetic number, because the mean of its divisors is an integer number (9506266).
Almost surely, 2106173020 is an apocalyptic number.
106173020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
106173020 is an abundant number, since it is smaller than the sum of its proper divisors (121977364).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106173020 is a wasteful number, since it uses less digits than its factorization.
106173020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 123509 (or 123507 counting only the distinct ones).
The product of its (nonzero) digits is 252, while the sum is 20.
The square root of 106173020 is about 10304.0293089645. The cubic root of 106173020 is about 473.5197055314.
The spelling of 106173020 in words is "one hundred six million, one hundred seventy-three thousand, twenty".
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