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11032280 = 235731241
BaseRepresentation
bin101010000101…
…011011011000
3202202111102222
4222011123120
510311013110
61032243212
7162526040
oct52053330
922674388
1011032280
116255796
123840508
13239369c
141672720
15e7dc55
hexa856d8

11032280 has 96 divisors (see below), whose sum is σ = 30028320. Its totient is φ = 3571200.

The previous prime is 11032261. The next prime is 11032283. The reversal of 11032280 is 8223011.

It is a super-2 number, since 2×110322802 = 243422403996800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11032283) 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 23 ways as a sum of consecutive naturals, for example, 269060 + ... + 269100.

It is an arithmetic number, because the mean of its divisors is an integer number (312795).

Almost surely, 211032280 is an apocalyptic number.

11032280 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 11032280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15014160).

11032280 is an abundant number, since it is smaller than the sum of its proper divisors (18996040).

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

11032280 is a wasteful number, since it uses less digits than its factorization.

11032280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 11032280 is about 3321.4876185228. The cubic root of 11032280 is about 222.6153422928.

Adding to 11032280 its reverse (8223011), we get a palindrome (19255291).

The spelling of 11032280 in words is "eleven million, thirty-two thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 41 56 62 70 82 124 140 155 164 205 217 248 280 287 310 328 410 434 574 620 820 868 961 1085 1148 1240 1271 1435 1640 1736 1922 2170 2296 2542 2870 3844 4340 4805 5084 5740 6355 6727 7688 8680 8897 9610 10168 11480 12710 13454 17794 19220 25420 26908 33635 35588 38440 39401 44485 50840 53816 67270 71176 78802 88970 134540 157604 177940 197005 269080 275807 315208 355880 394010 551614 788020 1103228 1379035 1576040 2206456 2758070 5516140 11032280