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11381320 = 2352389139
BaseRepresentation
bin101011011010…
…101001001000
3210102020020101
4223122221020
510403200240
61043535144
7165511456
oct53325110
923366211
1011381320
116473a55
12398a4b4
132486512
1417239d6
15eec39a
hexadaa48

11381320 has 64 divisors (see below), whose sum is σ = 27216000. Its totient is φ = 4274688.

The previous prime is 11381317. The next prime is 11381327. The reversal of 11381320 is 2318311.

It is not an unprimeable number, because it can be changed into a prime (11381327) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 81811 + ... + 81949.

It is an arithmetic number, because the mean of its divisors is an integer number (425250).

Almost surely, 211381320 is an apocalyptic number.

11381320 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 11381320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13608000).

11381320 is an abundant number, since it is smaller than the sum of its proper divisors (15834680).

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

11381320 is a wasteful number, since it uses less digits than its factorization.

11381320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 11381320 is about 3373.6211998385. The cubic root of 11381320 is about 224.9387158196.

Adding to 11381320 its reverse (2318311), we get a palindrome (13699631).

The spelling of 11381320 in words is "eleven million, three hundred eighty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 89 92 115 139 178 184 230 278 356 445 460 556 695 712 890 920 1112 1390 1780 2047 2780 3197 3560 4094 5560 6394 8188 10235 12371 12788 15985 16376 20470 24742 25576 31970 40940 49484 61855 63940 81880 98968 123710 127880 247420 284533 494840 569066 1138132 1422665 2276264 2845330 5690660 11381320