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11313648 = 243326189
BaseRepresentation
bin101011001010…
…000111110000
3210021210102000
4223022013300
510344014043
61042254000
7165110253
oct53120760
923253360
1011313648
116428125
123957300
132461788
14170709a
15ed72d3
hexaca1f0

11313648 has 40 divisors (see below), whose sum is σ = 32475600. Its totient is φ = 3771072.

The previous prime is 11313629. The next prime is 11313649. The reversal of 11313648 is 84631311.

11313648 is a `hidden beast` number, since 1 + 1 + 3 + 13 + 648 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11313649) 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 7 ways as a sum of consecutive naturals, for example, 12663 + ... + 13526.

It is an arithmetic number, because the mean of its divisors is an integer number (811890).

Almost surely, 211313648 is an apocalyptic number.

11313648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11313648 is an abundant number, since it is smaller than the sum of its proper divisors (21161952).

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

11313648 is a wasteful number, since it uses less digits than its factorization.

11313648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26206 (or 26194 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 11313648 is about 3363.5766677749. The cubic root of 11313648 is about 224.4920095105.

Adding to 11313648 its reverse (84631311), we get a palindrome (95944959).

The spelling of 11313648 in words is "eleven million, three hundred thirteen thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 26189 52378 78567 104756 157134 209512 235701 314268 419024 471402 628536 707103 942804 1257072 1414206 1885608 2828412 3771216 5656824 11313648