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11266506 = 2331979139
BaseRepresentation
bin101010111110…
…100111001010
3210012101202000
4222332213022
510341012011
61041251430
7164522646
oct52764712
923171660
1011266506
1163a5769
123933b76
132446194
1416d3c26
15ec8356
hexabe9ca

11266506 has 64 divisors (see below), whose sum is σ = 26880000. Its totient is φ = 3487536.

The previous prime is 11266501. The next prime is 11266523. The reversal of 11266506 is 60566211.

It is a happy number.

11266506 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 650 + 6 = 666.

It is a super-3 number, since 3×112665063 (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 11266506.

It is not an unprimeable number, because it can be changed into a prime (11266501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80985 + ... + 81123.

It is an arithmetic number, because the mean of its divisors is an integer number (420000).

Almost surely, 211266506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11266506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13440000).

11266506 is an abundant number, since it is smaller than the sum of its proper divisors (15613494).

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

11266506 is a wasteful number, since it uses less digits than its factorization.

11266506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 11266506 is about 3356.5616335768. The cubic root of 11266506 is about 224.1797690611.

The spelling of 11266506 in words is "eleven million, two hundred sixty-six thousand, five hundred six".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 79 114 139 158 171 237 278 342 417 474 513 711 834 1026 1251 1422 1501 2133 2502 2641 3002 3753 4266 4503 5282 7506 7923 9006 10981 13509 15846 21962 23769 27018 32943 40527 47538 65886 71307 81054 98829 142614 197658 208639 296487 417278 592974 625917 1251834 1877751 3755502 5633253 11266506