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11020240 = 2457111789
BaseRepresentation
bin101010000010…
…011111010000
3202201212221001
4222002133100
510310121430
61032111344
7162445660
oct52023720
922655831
1011020240
116247740
123835554
13238b06a
14166c1a0
15e7a3ca
hexa827d0

11020240 has 80 divisors (see below), whose sum is σ = 31962240. Its totient is φ = 3432960.

The previous prime is 11020213. The next prime is 11020241. The reversal of 11020240 is 4202011.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11020241) 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, 5266 + ... + 7054.

It is an arithmetic number, because the mean of its divisors is an integer number (399528).

Almost surely, 211020240 is an apocalyptic number.

11020240 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 11020240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15981120).

11020240 is an abundant number, since it is smaller than the sum of its proper divisors (20942000).

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

11020240 is a wasteful number, since it uses less digits than its factorization.

11020240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1820 (or 1814 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 11020240 is about 3319.6746828567. The cubic root of 11020240 is about 222.5343295934.

Adding to 11020240 its reverse (4202011), we get a palindrome (15222251).

The spelling of 11020240 in words is "eleven million, twenty thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 385 440 560 616 770 880 1232 1540 1789 3080 3578 6160 7156 8945 12523 14312 17890 19679 25046 28624 35780 39358 50092 62615 71560 78716 98395 100184 125230 137753 143120 157432 196790 200368 250460 275506 314864 393580 500920 551012 688765 787160 1001840 1102024 1377530 1574320 2204048 2755060 5510120 11020240