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11262020 = 22571171103
BaseRepresentation
bin101010111101…
…100001000100
3210012011120212
4222331201010
510340341040
61041214552
7164503610
oct52754104
923164525
1011262020
1163a2360
123931458
132444123
1416d2340
15ec6d65
hexabd844

11262020 has 96 divisors (see below), whose sum is σ = 30191616. Its totient is φ = 3427200.

The previous prime is 11262011. The next prime is 11262037. The reversal of 11262020 is 2026211.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 11261986 and 11262004.

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 31 ways as a sum of consecutive naturals, for example, 109289 + ... + 109391.

It is an arithmetic number, because the mean of its divisors is an integer number (314496).

Almost surely, 211262020 is an apocalyptic number.

11262020 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 11262020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15095808).

11262020 is an abundant number, since it is smaller than the sum of its proper divisors (18929596).

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

11262020 is a wasteful number, since it uses less digits than its factorization.

11262020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 11262020 is about 3355.8933236919. The cubic root of 11262020 is about 224.1500111234.

Adding to 11262020 its reverse (2026211), we get a palindrome (13288231).

The spelling of 11262020 in words is "eleven million, two hundred sixty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 71 77 103 110 140 142 154 206 220 284 308 355 385 412 497 515 710 721 770 781 994 1030 1133 1420 1442 1540 1562 1988 2060 2266 2485 2884 3124 3605 3905 4532 4970 5467 5665 7210 7313 7810 7931 9940 10934 11330 14420 14626 15620 15862 21868 22660 27335 29252 31724 36565 39655 51191 54670 73130 79310 80443 102382 109340 146260 158620 160886 204764 255955 321772 402215 511910 563101 804430 1023820 1126202 1608860 2252404 2815505 5631010 11262020