Base | Representation |
---|---|
bin | 100110100011… |
… | …011010110000 |
3 | 201000110120110 |
4 | 212203122300 |
5 | 10041402134 |
6 | 1000341320 |
7 | 151622100 |
oct | 46433260 |
9 | 21013513 |
10 | 10106544 |
11 | 5783218 |
12 | 3474840 |
13 | 212b206 |
14 | 14b1200 |
15 | d497e9 |
hex | 9a36b0 |
10106544 has 60 divisors (see below), whose sum is σ = 30378264. Its totient is φ = 2886912.
The previous prime is 10106543. The next prime is 10106557. The reversal of 10106544 is 44560101.
It is a Harshad number since it is a multiple of its sum of digits (21).
It is a self number, because there is not a number n which added to its sum of digits gives 10106544.
It is not an unprimeable number, because it can be changed into a prime (10106543) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 204 + ... + 4500.
Almost surely, 210106544 is an apocalyptic number.
10106544 is a gapful number since it is divisible by the number (14) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 10106544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15189132).
10106544 is an abundant number, since it is smaller than the sum of its proper divisors (20271720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10106544 is a wasteful number, since it uses less digits than its factorization.
10106544 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4322 (or 4309 counting only the distinct ones).
The product of its (nonzero) digits is 480, while the sum is 21.
The square root of 10106544 is about 3179.0791119442. The cubic root of 10106544 is about 216.2059079027.
Adding to 10106544 its reverse (44560101), we get a palindrome (54666645).
The spelling of 10106544 in words is "ten million, one hundred six thousand, five hundred forty-four".
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