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11056320 = 2632511349
BaseRepresentation
bin101010001011…
…010011000000
3202210201102100
4222023103000
510312300240
61032550400
7162656112
oct52132300
922721370
1011056320
116271860
123852400
1323a1602
14167b3b2
15e85e30
hexa8b4c0

11056320 has 168 divisors, whose sum is σ = 41605200. Its totient is φ = 2672640.

The previous prime is 11056301. The next prime is 11056321. The reversal of 11056320 is 2365011.

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 = 11056293 and 11056302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11056321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31506 + ... + 31854.

It is an arithmetic number, because the mean of its divisors is an integer number (247650).

Almost surely, 211056320 is an apocalyptic number.

11056320 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 11056320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20802600).

11056320 is an abundant number, since it is smaller than the sum of its proper divisors (30548880).

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

11056320 is a wasteful number, since it uses less digits than its factorization.

11056320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 11056320 is about 3325.1045096357. The cubic root of 11056320 is about 222.7769223809.

The spelling of 11056320 in words is "eleven million, fifty-six thousand, three hundred twenty".