Base | Representation |
---|---|
bin | 1100101011010… |
… | …01100100100100 |
3 | 21102002120010112 |
4 | 12111221210210 |
5 | 204210313341 |
6 | 14315112152 |
7 | 2430602030 |
oct | 625514444 |
9 | 242076115 |
10 | 106338596 |
11 | 55030841 |
12 | 2b742658 |
13 | 19052960 |
14 | 101a11c0 |
15 | 9507aeb |
hex | 6569924 |
106338596 has 48 divisors (see below), whose sum is σ = 229931520. Its totient is φ = 41904000.
The previous prime is 106338593. The next prime is 106338607. The reversal of 106338596 is 695833601.
It is a super-2 number, since 2×1063385962 = 22615793998502432, which contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (106338593) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141221 + ... + 141971.
It is an arithmetic number, because the mean of its divisors is an integer number (4790240).
Almost surely, 2106338596 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 106338596, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114965760).
106338596 is an abundant number, since it is smaller than the sum of its proper divisors (123592924).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106338596 is a wasteful number, since it uses less digits than its factorization.
106338596 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1164 (or 1162 counting only the distinct ones).
The product of its (nonzero) digits is 116640, while the sum is 41.
The square root of 106338596 is about 10312.0607057949. The cubic root of 106338596 is about 473.7657277866.
The spelling of 106338596 in words is "one hundred six million, three hundred thirty-eight thousand, five hundred ninety-six".
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