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11020590 = 23357417
BaseRepresentation
bin101010000010…
…100100101110
3202201220102000
4222002210232
510310124330
61032113130
7162450000
oct52024456
922656360
1011020590
116247a29
1238357a6
13238b279
14166c370
15e7a560
hexa8292e

11020590 has 160 divisors (see below), whose sum is σ = 36300960. Its totient is φ = 2370816.

The previous prime is 11020567. The next prime is 11020601. The reversal of 11020590 is 9502011.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 648262 + ... + 648278.

It is an arithmetic number, because the mean of its divisors is an integer number (226881).

Almost surely, 211020590 is an apocalyptic number.

11020590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11020590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18150480).

11020590 is an abundant number, since it is smaller than the sum of its proper divisors (25280370).

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

11020590 is an equidigital number, since it uses as much as digits as its factorization.

11020590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 11020590 is about 3319.7273984470. The cubic root of 11020590 is about 222.5366854462.

The spelling of 11020590 in words is "eleven million, twenty thousand, five hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 17 18 21 27 30 34 35 42 45 49 51 54 63 70 85 90 98 102 105 119 126 135 147 153 170 189 210 238 245 255 270 294 306 315 343 357 378 441 459 490 510 595 630 686 714 735 765 833 882 918 945 1029 1071 1190 1323 1470 1530 1666 1715 1785 1890 2058 2142 2205 2295 2401 2499 2646 3087 3213 3430 3570 4165 4410 4590 4802 4998 5145 5355 5831 6174 6426 6615 7203 7497 8330 9261 10290 10710 11662 12005 12495 13230 14406 14994 15435 16065 17493 18522 21609 22491 24010 24990 29155 30870 32130 34986 36015 37485 40817 43218 44982 46305 52479 58310 64827 72030 74970 81634 87465 92610 104958 108045 112455 122451 129654 157437 174930 204085 216090 224910 244902 262395 314874 324135 367353 408170 524790 612255 648270 734706 787185 1102059 1224510 1574370 1836765 2204118 3673530 5510295 11020590