Base | Representation |
---|---|
bin | 1100101101001… |
… | …11111001011000 |
3 | 21102120112022111 |
4 | 12112213321120 |
5 | 204242001010 |
6 | 14324402104 |
7 | 2433014221 |
oct | 626477130 |
9 | 242515274 |
10 | 106593880 |
11 | 55195618 |
12 | 2b846334 |
13 | 19111c03 |
14 | 1022a248 |
15 | 955858a |
hex | 65a7e58 |
106593880 has 16 divisors (see below), whose sum is σ = 239836320. Its totient is φ = 42637536.
The previous prime is 106593871. The next prime is 106593881. The reversal of 106593880 is 88395601.
It is a happy number.
It is a super-2 number, since 2×1065938802 = 22724510506908800, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 2664847 = 106593880 / (1 + 0 + 6 + 5 + 9 + 3 + 8 + 8 + 0).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (106593881) by changing a digit.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1332384 + ... + 1332463.
It is an arithmetic number, because the mean of its divisors is an integer number (14989770).
Almost surely, 2106593880 is an apocalyptic number.
106593880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
106593880 is an abundant number, since it is smaller than the sum of its proper divisors (133242440).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106593880 is a wasteful number, since it uses less digits than its factorization.
106593880 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2664858 (or 2664854 counting only the distinct ones).
The product of its (nonzero) digits is 51840, while the sum is 40.
The square root of 106593880 is about 10324.4312192004. The cubic root of 106593880 is about 474.1445433831.
The spelling of 106593880 in words is "one hundred six million, five hundred ninety-three thousand, eight hundred eighty".
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