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11218056 = 2331973337
BaseRepresentation
bin101010110010…
…110010001000
3210002221021120
4222302302020
510332434211
61040235240
7164231463
oct52626210
923087246
1011218056
116372323
12390bb20
13242a105
1416c02da
15eb8d06
hexab2c88

11218056 has 64 divisors (see below), whose sum is σ = 30014400. Its totient is φ = 3483648.

The previous prime is 11218049. The next prime is 11218057. The reversal of 11218056 is 65081211.

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

It is not an unprimeable number, because it can be changed into a prime (11218057) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33120 + ... + 33456.

It is an arithmetic number, because the mean of its divisors is an integer number (468975).

Almost surely, 211218056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11218056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15007200).

11218056 is an abundant number, since it is smaller than the sum of its proper divisors (18796344).

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

11218056 is a wasteful number, since it uses less digits than its factorization.

11218056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

The square root of 11218056 is about 3349.3366507415. The cubic root of 11218056 is about 223.8579562893.

Adding to 11218056 its reverse (65081211), we get a palindrome (76299267).

The spelling of 11218056 in words is "eleven million, two hundred eighteen thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 73 76 114 146 152 219 228 292 337 438 456 584 674 876 1011 1348 1387 1752 2022 2696 2774 4044 4161 5548 6403 8088 8322 11096 12806 16644 19209 24601 25612 33288 38418 49202 51224 73803 76836 98404 147606 153672 196808 295212 467419 590424 934838 1402257 1869676 2804514 3739352 5609028 11218056