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11026920 = 2335432137
BaseRepresentation
bin101010000100…
…000111101000
3202202020002110
4222010013220
510310330140
61032202320
7162504312
oct52040750
922666073
1011026920
116251763
1238393a0
132391108
1416707b2
15e7c380
hexa841e8

11026920 has 64 divisors (see below), whose sum is σ = 33865920. Its totient is φ = 2870784.

The previous prime is 11026919. The next prime is 11026921. The reversal of 11026920 is 2962011.

It is an interprime number because it is at equal distance from previous prime (11026919) and next prime (11026921).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11026921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4092 + ... + 6228.

It is an arithmetic number, because the mean of its divisors is an integer number (529155).

Almost surely, 211026920 is an apocalyptic number.

11026920 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 11026920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16932960).

11026920 is an abundant number, since it is smaller than the sum of its proper divisors (22839000).

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

11026920 is a wasteful number, since it uses less digits than its factorization.

11026920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2194 (or 2190 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 11026920 is about 3320.6806531192. The cubic root of 11026920 is about 222.5792841215.

Adding to 11026920 its reverse (2962011), we get a palindrome (13988931).

The spelling of 11026920 in words is "eleven million, twenty-six thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 172 215 258 344 430 516 645 860 1032 1290 1720 2137 2580 4274 5160 6411 8548 10685 12822 17096 21370 25644 32055 42740 51288 64110 85480 91891 128220 183782 256440 275673 367564 459455 551346 735128 918910 1102692 1378365 1837820 2205384 2756730 3675640 5513460 11026920