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11328360 = 2335671409
BaseRepresentation
bin101011001101…
…101101101000
3210022112120220
4223031231220
510400001420
61042450040
7165201201
oct53155550
923275526
1011328360
11643818a
123963920
132468394
14170c5a8
15edb840
hexacdb68

11328360 has 64 divisors (see below), whose sum is σ = 34516800. Its totient is φ = 2973696.

The previous prime is 11328353. The next prime is 11328367. The reversal of 11328360 is 6382311.

It is an interprime number because it is at equal distance from previous prime (11328353) and next prime (11328367).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 11328360.

It is not an unprimeable number, because it can be changed into a prime (11328367) 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 15 ways as a sum of consecutive naturals, for example, 7336 + ... + 8744.

It is an arithmetic number, because the mean of its divisors is an integer number (539325).

Almost surely, 211328360 is an apocalyptic number.

11328360 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 11328360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17258400).

11328360 is an abundant number, since it is smaller than the sum of its proper divisors (23188440).

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

11328360 is a wasteful number, since it uses less digits than its factorization.

11328360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 11328360 is about 3365.7629150016. The cubic root of 11328360 is about 224.5892753933.

The spelling of 11328360 in words is "eleven million, three hundred twenty-eight thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 67 120 134 201 268 335 402 536 670 804 1005 1340 1409 1608 2010 2680 2818 4020 4227 5636 7045 8040 8454 11272 14090 16908 21135 28180 33816 42270 56360 84540 94403 169080 188806 283209 377612 472015 566418 755224 944030 1132836 1416045 1888060 2265672 2832090 3776120 5664180 11328360