Base | Representation |
---|---|
bin | 1100101000110… |
… | …00011000101000 |
3 | 21101110122222020 |
4 | 12110120120220 |
5 | 204114143211 |
6 | 14304024440 |
7 | 2425015362 |
oct | 624303050 |
9 | 241418866 |
10 | 106006056 |
11 | 54923a12 |
12 | 2b602120 |
13 | 18c674a0 |
14 | 10115d32 |
15 | 948e306 |
hex | 6518628 |
106006056 has 64 divisors (see below), whose sum is σ = 291513600. Its totient is φ = 31918848.
The previous prime is 106006037. The next prime is 106006093. The reversal of 106006056 is 650600601.
It is a super-2 number, since 2×1060060562 = 22474567817350272, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11050 + ... + 18278.
It is an arithmetic number, because the mean of its divisors is an integer number (4554900).
Almost surely, 2106006056 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 106006056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145756800).
106006056 is an abundant number, since it is smaller than the sum of its proper divisors (185507544).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106006056 is a wasteful number, since it uses less digits than its factorization.
106006056 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 7298 (or 7294 counting only the distinct ones).
The product of its (nonzero) digits is 1080, while the sum is 24.
The square root of 106006056 is about 10295.9242421455. The cubic root of 106006056 is about 473.2713617648.
Adding to 106006056 its reverse (650600601), we get a palindrome (756606657).
The spelling of 106006056 in words is "one hundred six million, six thousand, fifty-six".
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