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11098880 = 285132329
BaseRepresentation
bin101010010101…
…101100000000
3202212212210122
4222111230000
510320131010
61033515412
7163224152
oct52255400
922785718
1011098880
1162a0831
123872b68
1323b7ab0
14168cad2
15e93855
hexa95b00

11098880 has 144 divisors (see below), whose sum is σ = 30905280. Its totient is φ = 3784704.

The previous prime is 11098877. The next prime is 11098897. The reversal of 11098880 is 8889011.

It is a self number, because there is not a number n which added to its sum of digits gives 11098880.

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, 382706 + ... + 382734.

It is an arithmetic number, because the mean of its divisors is an integer number (214620).

Almost surely, 211098880 is an apocalyptic number.

11098880 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 11098880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15452640).

11098880 is an abundant number, since it is smaller than the sum of its proper divisors (19806400).

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

11098880 is a wasteful number, since it uses less digits than its factorization.

11098880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 35.

The square root of 11098880 is about 3331.4981614883. The cubic root of 11098880 is about 223.0624075436.

The spelling of 11098880 in words is "eleven million, ninety-eight thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 23 26 29 32 40 46 52 58 64 65 80 92 104 115 116 128 130 145 160 184 208 230 232 256 260 290 299 320 368 377 416 460 464 520 580 598 640 667 736 754 832 920 928 1040 1160 1196 1280 1334 1472 1495 1508 1664 1840 1856 1885 2080 2320 2392 2668 2944 2990 3016 3328 3335 3680 3712 3770 4160 4640 4784 5336 5888 5980 6032 6670 7360 7424 7540 8320 8671 9280 9568 10672 11960 12064 13340 14720 15080 16640 17342 18560 19136 21344 23920 24128 26680 29440 30160 34684 37120 38272 42688 43355 47840 48256 53360 60320 69368 76544 85376 86710 95680 96512 106720 120640 138736 170752 173420 191360 213440 241280 277472 346840 382720 426880 482560 554944 693680 853760 1109888 1387360 2219776 2774720 5549440 11098880