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11272320 = 2732519103
BaseRepresentation
bin101011000000…
…000010000000
3210012200201100
4223000002000
510341203240
61041334400
7164545623
oct53000200
923180640
1011272320
1163aa074
123937400
132448a17
1416d5dba
15ec9e30
hexac0080

11272320 has 192 divisors, whose sum is σ = 41371200. Its totient is φ = 2820096.

The previous prime is 11272291. The next prime is 11272367. The reversal of 11272320 is 2327211.

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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 11272293 and 11272302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109389 + ... + 109491.

It is an arithmetic number, because the mean of its divisors is an integer number (215475).

Almost surely, 211272320 is an apocalyptic number.

11272320 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 11272320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20685600).

11272320 is an abundant number, since it is smaller than the sum of its proper divisors (30098880).

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

11272320 is a wasteful number, since it uses less digits than its factorization.

11272320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 11272320 is about 3357.4275867098. The cubic root of 11272320 is about 224.2183245529.

Adding to 11272320 its reverse (2327211), we get a palindrome (13599531).

The spelling of 11272320 in words is "eleven million, two hundred seventy-two thousand, three hundred twenty".