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11982906 = 23213411249
BaseRepresentation
bin101101101101…
…100000111010
3211112210110100
4231231200322
511031423111
61104500230
7203565405
oct55554072
924483410
1011982906
116844a31
12401a676
1326372a0
14183cd3c
1510ba756
hexb6d83a

11982906 has 48 divisors (see below), whose sum is σ = 28665000. Its totient is φ = 3594240.

The previous prime is 11982899. The next prime is 11982911. The reversal of 11982906 is 60928911.

It can be written as a sum of positive squares in 4 ways, for example, as 4447881 + 7535025 = 2109^2 + 2745^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8970 + ... + 10218.

Almost surely, 211982906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11982906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14332500).

11982906 is an abundant number, since it is smaller than the sum of its proper divisors (16682094).

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

11982906 is a wasteful number, since it uses less digits than its factorization.

11982906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1311 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 11982906 is about 3461.6334294665. The cubic root of 11982906 is about 228.8340871549.

The spelling of 11982906 in words is "eleven million, nine hundred eighty-two thousand, nine hundred six".

Divisors: 1 2 3 6 9 13 18 26 39 41 78 82 117 123 234 246 369 533 738 1066 1249 1599 2498 3198 3747 4797 7494 9594 11241 16237 22482 32474 48711 51209 97422 102418 146133 153627 292266 307254 460881 665717 921762 1331434 1997151 3994302 5991453 11982906