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11320120 = 235740429
BaseRepresentation
bin101011001011…
…101100111000
3210022010021201
4223023230320
510344220440
61042343544
7165135160
oct53135470
923263251
1011320120
116431a79
12395abb4
1324646c6
1417095a0
15ed919a
hexacbb38

11320120 has 32 divisors (see below), whose sum is σ = 29109600. Its totient is φ = 3881088.

The previous prime is 11320097. The next prime is 11320129. The reversal of 11320120 is 2102311.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 11320097 and 11320106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11320129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19935 + ... + 20494.

It is an arithmetic number, because the mean of its divisors is an integer number (909675).

Almost surely, 211320120 is an apocalyptic number.

11320120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11320120 is an abundant number, since it is smaller than the sum of its proper divisors (17789480).

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

11320120 is a wasteful number, since it uses less digits than its factorization.

11320120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40447 (or 40443 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 11320120 is about 3364.5386013538. The cubic root of 11320120 is about 224.5348084181.

Adding to 11320120 its reverse (2102311), we get a palindrome (13422431).

The spelling of 11320120 in words is "eleven million, three hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 40429 80858 161716 202145 283003 323432 404290 566006 808580 1132012 1415015 1617160 2264024 2830030 5660060 11320120