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11201064 = 2337611093
BaseRepresentation
bin101010101110…
…101000101000
3210002001222020
4222232220220
510331413224
61040024440
7164131110
oct52565050
923061866
1011201064
116360586
123902120
132422464
1416b8040
15eb3c79
hexaaea28

11201064 has 64 divisors (see below), whose sum is σ = 32557440. Its totient is φ = 3144960.

The previous prime is 11201063. The next prime is 11201083. The reversal of 11201064 is 46010211.

It is not an unprimeable number, because it can be changed into a prime (11201063) 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 15 ways as a sum of consecutive naturals, for example, 9702 + ... + 10794.

It is an arithmetic number, because the mean of its divisors is an integer number (508710).

Almost surely, 211201064 is an apocalyptic number.

11201064 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 11201064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16278720).

11201064 is an abundant number, since it is smaller than the sum of its proper divisors (21356376).

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

11201064 is a wasteful number, since it uses less digits than its factorization.

11201064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170 (or 1166 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 11201064 is about 3346.7990677661. The cubic root of 11201064 is about 223.7448732219.

Adding to 11201064 its reverse (46010211), we get a palindrome (57211275).

The spelling of 11201064 in words is "eleven million, two hundred one thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 61 84 122 168 183 244 366 427 488 732 854 1093 1281 1464 1708 2186 2562 3279 3416 4372 5124 6558 7651 8744 10248 13116 15302 22953 26232 30604 45906 61208 66673 91812 133346 183624 200019 266692 400038 466711 533384 800076 933422 1400133 1600152 1866844 2800266 3733688 5600532 11201064