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11264106 = 237269997
BaseRepresentation
bin101010111110…
…000001101010
3210012021110010
4222332001222
510340422411
61041232350
7164512650
oct52760152
923167403
1011264106
1163a3987
1239326b6
132445069
1416d2dd0
15ec77a6
hexabe06a

11264106 has 32 divisors (see below), whose sum is σ = 25868160. Its totient is φ = 3203136.

The previous prime is 11264087. The next prime is 11264111. The reversal of 11264106 is 60146211.

11264106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10800 + ... + 11796.

It is an arithmetic number, because the mean of its divisors is an integer number (808380).

Almost surely, 211264106 is an apocalyptic number.

11264106 is an abundant number, since it is smaller than the sum of its proper divisors (14604054).

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

11264106 is a wasteful number, since it uses less digits than its factorization.

11264106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1278.

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 11264106 is about 3356.2041058315. The cubic root of 11264106 is about 224.1638496135.

The spelling of 11264106 in words is "eleven million, two hundred sixty-four thousand, one hundred six".

Divisors: 1 2 3 6 7 14 21 42 269 538 807 997 1614 1883 1994 2991 3766 5649 5982 6979 11298 13958 20937 41874 268193 536386 804579 1609158 1877351 3754702 5632053 11264106