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23106006 = 2337115557
BaseRepresentation
bin101100000100…
…1000111010110
31121110220111000
41120021013112
521403343011
62143124130
7400253310
oct130110726
947426430
1023106006
1112051980
1278a3646
134a300c1
1430d67b0
152066356
hex16091d6

23106006 has 64 divisors (see below), whose sum is σ = 64028160. Its totient is φ = 6000480.

The previous prime is 23105983. The next prime is 23106029. The reversal of 23106006 is 60060132.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (23105983) and next prime (23106029).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 23106006.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1380 + ... + 6936.

It is an arithmetic number, because the mean of its divisors is an integer number (1000440).

Almost surely, 223106006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23106006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32014080).

23106006 is an abundant number, since it is smaller than the sum of its proper divisors (40922154).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23106006 is a wasteful number, since it uses less digits than its factorization.

23106006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5586 (or 5580 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 23106006 is about 4806.8707076434. The cubic root of 23106006 is about 284.8229371097.

Adding to 23106006 its reverse (60060132), we get a palindrome (83166138).

The spelling of 23106006 in words is "twenty-three million, one hundred six thousand, six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 99 126 154 189 198 231 297 378 462 594 693 1386 2079 4158 5557 11114 16671 33342 38899 50013 61127 77798 100026 116697 122254 150039 183381 233394 300078 350091 366762 427889 550143 700182 855778 1050273 1100286 1283667 1650429 2100546 2567334 3300858 3851001 7702002 11553003 23106006