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11203280 = 2451129439
BaseRepresentation
bin101010101111…
…001011010000
3210002012000022
4222233023100
510332001110
61040043012
7164140424
oct52571320
923065008
1011203280
116362210
123903468
13242347a
1416b8b84
15eb4755
hexaaf2d0

11203280 has 80 divisors (see below), whose sum is σ = 29462400. Its totient is φ = 3924480.

The previous prime is 11203273. The next prime is 11203301. The reversal of 11203280 is 8230211.

11203280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25301 + ... + 25739.

It is an arithmetic number, because the mean of its divisors is an integer number (368280).

Almost surely, 211203280 is an apocalyptic number.

11203280 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 11203280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14731200).

11203280 is an abundant number, since it is smaller than the sum of its proper divisors (18259120).

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

11203280 is a wasteful number, since it uses less digits than its factorization.

11203280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 11203280 is about 3347.1301139932. The cubic root of 11203280 is about 223.7596273543.

Adding to 11203280 its reverse (8230211), we get a palindrome (19433491).

The spelling of 11203280 in words is "eleven million, two hundred three thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 40 44 55 58 80 88 110 116 145 176 220 232 290 319 439 440 464 580 638 878 880 1160 1276 1595 1756 2195 2320 2552 3190 3512 4390 4829 5104 6380 7024 8780 9658 12731 12760 17560 19316 24145 25462 25520 35120 38632 48290 50924 63655 77264 96580 101848 127310 140041 193160 203696 254620 280082 386320 509240 560164 700205 1018480 1120328 1400410 2240656 2800820 5601640 11203280