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11480320 = 2858969
BaseRepresentation
bin101011110010…
…110100000000
3210121021001001
4223302310000
510414332240
61050021344
7166403215
oct53626400
923537031
1011480320
116531375
123a17854
1324bc5b7
14174bb0c
15101b89a
hexaf2d00

11480320 has 36 divisors (see below), whose sum is σ = 27502020. Its totient is φ = 4591616.

The previous prime is 11480309. The next prime is 11480333. The reversal of 11480320 is 2308411.

It can be written as a sum of positive squares in 2 ways, for example, as 5089536 + 6390784 = 2256^2 + 2528^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3205 + ... + 5764.

It is an arithmetic number, because the mean of its divisors is an integer number (763945).

Almost surely, 211480320 is an apocalyptic number.

11480320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11480320 is an abundant number, since it is smaller than the sum of its proper divisors (16021700).

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

11480320 is an frugal number, since it uses more digits than its factorization.

11480320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8990 (or 8976 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 11480320 is about 3388.2620913973. The cubic root of 11480320 is about 225.5890409310.

Adding to 11480320 its reverse (2308411), we get a palindrome (13788731).

The spelling of 11480320 in words is "eleven million, four hundred eighty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 8969 17938 35876 44845 71752 89690 143504 179380 287008 358760 574016 717520 1148032 1435040 2296064 2870080 5740160 11480320