Search a number
-
+
11331360 = 253354361
BaseRepresentation
bin101011001110…
…011100100000
3210022200201000
4223032130200
510400100420
61042512000
7165213015
oct53163440
923280630
1011331360
11643a467
123965600
132469861
14170d70c
15edc690
hexace720

11331360 has 192 divisors, whose sum is σ = 41247360. Its totient is φ = 2903040.

The previous prime is 11331343. The next prime is 11331377. The reversal of 11331360 is 6313311.

It is an interprime number because it is at equal distance from previous prime (11331343) and next prime (11331377).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 185730 + ... + 185790.

It is an arithmetic number, because the mean of its divisors is an integer number (214830).

Almost surely, 211331360 is an apocalyptic number.

11331360 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 11331360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20623680).

11331360 is an abundant number, since it is smaller than the sum of its proper divisors (29916000).

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

11331360 is a wasteful number, since it uses less digits than its factorization.

11331360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 11331360 is about 3366.2085496891. The cubic root of 11331360 is about 224.6090990441.

Adding to 11331360 its reverse (6313311), we get a palindrome (17644671).

The spelling of 11331360 in words is "eleven million, three hundred thirty-one thousand, three hundred sixty".