Base | Representation |
---|---|
bin | 1100101111000… |
… | …01100011001000 |
3 | 21110000112020120 |
4 | 12113201203020 |
5 | 204322030044 |
6 | 14333423240 |
7 | 2435016540 |
oct | 627414310 |
9 | 243015216 |
10 | 106830024 |
11 | 55336a84 |
12 | 2b93ab20 |
13 | 19195542 |
14 | 1028c320 |
15 | 95a3519 |
hex | 65e18c8 |
106830024 has 32 divisors (see below), whose sum is σ = 305229120. Its totient is φ = 30522816.
The previous prime is 106830007. The next prime is 106830043. The reversal of 106830024 is 420038601.
It is a happy number.
It is a super-2 number, since 2×1068300242 = 22825308055681152, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a junction number, because it is equal to n+sod(n) for n = 106829976 and 106830003.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 317779 + ... + 318114.
It is an arithmetic number, because the mean of its divisors is an integer number (9538410).
Almost surely, 2106830024 is an apocalyptic number.
106830024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.
It is an amenable number.
106830024 is an abundant number, since it is smaller than the sum of its proper divisors (198399096).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106830024 is a wasteful number, since it uses less digits than its factorization.
106830024 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 635909 (or 635905 counting only the distinct ones).
The product of its (nonzero) digits is 1152, while the sum is 24.
The square root of 106830024 is about 10335.8610671777. The cubic root of 106830024 is about 474.4944190315.
Adding to 106830024 its reverse (420038601), we get a palindrome (526868625).
The spelling of 106830024 in words is "one hundred six million, eight hundred thirty thousand, twenty-four".
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