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11042880 = 263511503
BaseRepresentation
bin101010001000…
…000001000000
3202210000222120
4222020001000
510311333010
61032404240
7162601662
oct52100100
922700876
1011042880
116262752
123846680
132398464
141676532
15e81e70
hexa88040

11042880 has 56 divisors (see below), whose sum is σ = 35064192. Its totient is φ = 2944512.

The previous prime is 11042849. The next prime is 11042887. The reversal of 11042880 is 8824011.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11042880.

It is not an unprimeable number, because it can be changed into a prime (11042887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4792 + ... + 6711.

Almost surely, 211042880 is an apocalyptic number.

11042880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11042880 is an abundant number, since it is smaller than the sum of its proper divisors (24021312).

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

11042880 is a wasteful number, since it uses less digits than its factorization.

11042880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11523 (or 11513 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 11042880 is about 3323.0829059775. The cubic root of 11042880 is about 222.6866169909.

Adding to 11042880 its reverse (8824011), we get a palindrome (19866891).

The spelling of 11042880 in words is "eleven million, forty-two thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 11503 23006 34509 46012 57515 69018 92024 115030 138036 172545 184048 230060 276072 345090 368096 460120 552144 690180 736192 920240 1104288 1380360 1840480 2208576 2760720 3680960 5521440 11042880