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11271380 = 22523107229
BaseRepresentation
bin101010111111…
…110011010100
3210012122102112
4222333303110
510341141010
61041330152
7164543111
oct52776324
923178375
1011271380
1163a939a
123936958
132448473
1416d5908
15ec9a05
hexabfcd4

11271380 has 48 divisors (see below), whose sum is σ = 25038720. Its totient is φ = 4253568.

The previous prime is 11271367. The next prime is 11271437. The reversal of 11271380 is 8317211.

11271380 = T384 + T385 + ... + T498.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49106 + ... + 49334.

It is an arithmetic number, because the mean of its divisors is an integer number (521640).

Almost surely, 211271380 is an apocalyptic number.

11271380 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 11271380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12519360).

11271380 is an abundant number, since it is smaller than the sum of its proper divisors (13767340).

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

11271380 is a wasteful number, since it uses less digits than its factorization.

11271380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 23.

The square root of 11271380 is about 3357.2875956641. The cubic root of 11271380 is about 224.2120918495.

Adding to 11271380 its reverse (8317211), we get a palindrome (19588591).

The spelling of 11271380 in words is "eleven million, two hundred seventy-one thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 23 46 92 107 115 214 229 230 428 458 460 535 916 1070 1145 2140 2290 2461 4580 4922 5267 9844 10534 12305 21068 24503 24610 26335 49006 49220 52670 98012 105340 122515 245030 490060 563569 1127138 2254276 2817845 5635690 11271380