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11335680 = 21133541
BaseRepresentation
bin101011001111…
…100000000000
3210022220122000
4223033200000
510400220210
61042544000
7165231426
oct53174000
923286560
1011335680
116442734
123968000
13246b805
141711116
15eddac0
hexacf800

11335680 has 192 divisors, whose sum is σ = 41277600. Its totient is φ = 2949120.

The previous prime is 11335679. The next prime is 11335697. The reversal of 11335680 is 8653311.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

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, 276460 + ... + 276500.

Almost surely, 211335680 is an apocalyptic number.

11335680 is a gapful number since it is divisible by the number (10) 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 11335680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20638800).

11335680 is an abundant number, since it is smaller than the sum of its proper divisors (29941920).

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

11335680 is an equidigital number, since it uses as much as digits as its factorization.

11335680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 51 counting only the distinct ones).

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

The square root of 11335680 is about 3366.8501600160. The cubic root of 11335680 is about 224.6376389554.

Adding to 11335680 its reverse (8653311), we get a palindrome (19988991).

The spelling of 11335680 in words is "eleven million, three hundred thirty-five thousand, six hundred eighty".