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11084220 = 22325719463
BaseRepresentation
bin101010010010…
…000110111100
3202212010200200
4222102012330
510314143340
61033323500
7163133340
oct52220674
922763620
1011084220
116290814
123866590
1323b1214
141687620
15e8e330
hexa921bc

11084220 has 144 divisors (see below), whose sum is σ = 40535040. Its totient is φ = 2395008.

The previous prime is 11084207. The next prime is 11084233. The reversal of 11084220 is 2248011.

It is an interprime number because it is at equal distance from previous prime (11084207) and next prime (11084233).

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

It is a junction number, because it is equal to n+sod(n) for n = 11084193 and 11084202.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 23709 + ... + 24171.

Almost surely, 211084220 is an apocalyptic number.

11084220 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 11084220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20267520).

11084220 is an abundant number, since it is smaller than the sum of its proper divisors (29450820).

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

11084220 is a wasteful number, since it uses less digits than its factorization.

11084220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 11084220 is about 3329.2972231388. The cubic root of 11084220 is about 222.9641533136.

The spelling of 11084220 in words is "eleven million, eighty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 19 20 21 28 30 35 36 38 42 45 57 60 63 70 76 84 90 95 105 114 126 133 140 171 180 190 210 228 252 266 285 315 342 380 399 420 463 532 570 630 665 684 798 855 926 1140 1197 1260 1330 1389 1596 1710 1852 1995 2315 2394 2660 2778 3241 3420 3990 4167 4630 4788 5556 5985 6482 6945 7980 8334 8797 9260 9723 11970 12964 13890 16205 16668 17594 19446 20835 23940 26391 27780 29169 32410 35188 38892 41670 43985 48615 52782 58338 61579 64820 79173 83340 87970 97230 105564 116676 123158 131955 145845 158346 175940 184737 194460 246316 263910 291690 307895 316692 369474 395865 527820 554211 583380 615790 738948 791730 923685 1108422 1231580 1583460 1847370 2216844 2771055 3694740 5542110 11084220