Base | Representation |
---|---|
bin | 1100101111110… |
… | …10111011101011 |
3 | 21110012210212100 |
4 | 12113322323223 |
5 | 204333341440 |
6 | 14335544443 |
7 | 2435631630 |
oct | 627727353 |
9 | 243183770 |
10 | 106933995 |
11 | 553a8103 |
12 | 2b98b123 |
13 | 1920096c |
14 | 102b8187 |
15 | 95c4230 |
hex | 65faeeb |
106933995 has 96 divisors (see below), whose sum is σ = 236321280. Its totient is φ = 43545600.
The previous prime is 106933993. The next prime is 106933997. The reversal of 106933995 is 599339601.
It is an interprime number because it is at equal distance from previous prime (106933993) and next prime (106933997).
It is not a de Polignac number, because 106933995 - 21 = 106933993 is a prime.
It is a super-2 number, since 2×1069339952 = 22869758573320050, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a self number, because there is not a number n which added to its sum of digits gives 106933995.
It is not an unprimeable number, because it can be changed into a prime (106933993) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 101220 + ... + 102270.
It is an arithmetic number, because the mean of its divisors is an integer number (2461680).
Almost surely, 2106933995 is an apocalyptic number.
106933995 is a gapful number since it is divisible by the number (15) formed by its first and last digit.
106933995 is an abundant number, since it is smaller than the sum of its proper divisors (129387285).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106933995 is a wasteful number, since it uses less digits than its factorization.
106933995 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1105 (or 1102 counting only the distinct ones).
The product of its (nonzero) digits is 196830, while the sum is 45.
The square root of 106933995 is about 10340.8894685129. The cubic root of 106933995 is about 474.6483010633.
The spelling of 106933995 in words is "one hundred six million, nine hundred thirty-three thousand, nine hundred ninety-five".
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