Base | Representation |
---|---|
bin | 1100101001111… |
… | …01110110000000 |
3 | 21101202110102220 |
4 | 12110331312000 |
5 | 204134100423 |
6 | 14311211040 |
7 | 2426224611 |
oct | 624756600 |
9 | 241673386 |
10 | 106159488 |
11 | 54a19216 |
12 | 2b676a80 |
13 | 18cbc286 |
14 | 10155c08 |
15 | 94be9e3 |
hex | 653dd80 |
106159488 has 64 divisors (see below), whose sum is σ = 291740400. Its totient is φ = 34162688.
The previous prime is 106159483. The next prime is 106159507. The reversal of 106159488 is 884951601.
It is a tau number, because it is divible by the number of its divisors (64).
It is a super-2 number, since 2×1061594882 = 22539673784844288, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (106159483) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6370 + ... + 15902.
Almost surely, 2106159488 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 106159488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145870200).
106159488 is an abundant number, since it is smaller than the sum of its proper divisors (185580912).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106159488 is an equidigital number, since it uses as much as digits as its factorization.
106159488 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9579 (or 9567 counting only the distinct ones).
The product of its (nonzero) digits is 69120, while the sum is 42.
The square root of 106159488 is about 10303.3726517097. The cubic root of 106159488 is about 473.4995876116.
The spelling of 106159488 in words is "one hundred six million, one hundred fifty-nine thousand, four hundred eighty-eight".
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