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11008928 = 25731759
BaseRepresentation
bin101001111111…
…101110100000
3202201022102002
4221333232200
510304241203
61031543132
7162401000
oct51775640
922638362
1011008928
11623a197
12382aaa8
132385b78
141668000
15e76d88
hexa7fba0

11008928 has 96 divisors (see below), whose sum is σ = 27216000. Its totient is φ = 4365312.

The previous prime is 11008919. The next prime is 11008931. The reversal of 11008928 is 82980011.

It is a self number, because there is not a number n which added to its sum of digits gives 11008928.

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, 186563 + ... + 186621.

It is an arithmetic number, because the mean of its divisors is an integer number (283500).

Almost surely, 211008928 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 11008928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13608000).

11008928 is an abundant number, since it is smaller than the sum of its proper divisors (16207072).

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

11008928 is an equidigital number, since it uses as much as digits as its factorization.

11008928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 29.

The square root of 11008928 is about 3317.9704640036. The cubic root of 11008928 is about 222.4581615563.

Adding to 11008928 its reverse (82980011), we get a palindrome (93988939).

The spelling of 11008928 in words is "eleven million, eight thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 49 56 59 68 98 112 118 119 136 196 224 236 238 272 343 392 413 472 476 544 686 784 826 833 944 952 1003 1372 1568 1652 1666 1888 1904 2006 2744 2891 3304 3332 3808 4012 5488 5782 5831 6608 6664 7021 8024 10976 11564 11662 13216 13328 14042 16048 20237 23128 23324 26656 28084 32096 40474 46256 46648 49147 56168 80948 92512 93296 98294 112336 161896 186592 196588 224672 323792 344029 393176 647584 688058 786352 1376116 1572704 2752232 5504464 11008928