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11032840 = 2357213433
BaseRepresentation
bin101010000101…
…100100001000
3202202112012201
4222011210020
510311022330
61032245544
7162530500
oct52054410
922675181
1011032840
116256155
1238408b4
132393a10
141672a00
15e7deca
hexa85908

11032840 has 96 divisors (see below), whose sum is σ = 31169880. Its totient is φ = 3483648.

The previous prime is 11032837. The next prime is 11032841. The reversal of 11032840 is 4823011.

It can be written as a sum of positive squares in 4 ways, for example, as 4468996 + 6563844 = 2114^2 + 2562^2 .

It is not an unprimeable number, because it can be changed into a prime (11032841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25264 + ... + 25696.

Almost surely, 211032840 is an apocalyptic number.

11032840 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 11032840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15584940).

11032840 is an abundant number, since it is smaller than the sum of its proper divisors (20137040).

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

11032840 is a wasteful number, since it uses less digits than its factorization.

11032840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 11032840 is about 3321.5719170296. The cubic root of 11032840 is about 222.6191088905.

Adding to 11032840 its reverse (4823011), we get a palindrome (15855851).

The spelling of 11032840 in words is "eleven million, thirty-two thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 49 52 56 65 70 91 98 104 130 140 182 196 245 260 280 364 392 433 455 490 520 637 728 866 910 980 1274 1732 1820 1960 2165 2548 3031 3185 3464 3640 4330 5096 5629 6062 6370 8660 11258 12124 12740 15155 17320 21217 22516 24248 25480 28145 30310 39403 42434 45032 56290 60620 78806 84868 106085 112580 121240 157612 169736 197015 212170 225160 275821 315224 394030 424340 551642 788060 848680 1103284 1379105 1576120 2206568 2758210 5516420 11032840