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11080832 = 27783149
BaseRepresentation
bin101010010001…
…010010000000
3202211222001012
4222101102000
510314041312
61033300052
7163120430
oct52212200
922758035
1011080832
116289214
123864628
1323ac809
1416862c0
15e8d322
hexa91480

11080832 has 64 divisors (see below), whose sum is σ = 25704000. Its totient is φ = 4660224.

The previous prime is 11080829. The next prime is 11080837. The reversal of 11080832 is 23808011.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 11080798 and 11080807.

It is not an unprimeable number, because it can be changed into a prime (11080837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74294 + ... + 74442.

It is an arithmetic number, because the mean of its divisors is an integer number (401625).

Almost surely, 211080832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11080832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12852000).

11080832 is an abundant number, since it is smaller than the sum of its proper divisors (14623168).

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

11080832 is an equidigital number, since it uses as much as digits as its factorization.

11080832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 11080832 is about 3328.7883681604. The cubic root of 11080832 is about 222.9414339422.

Adding to 11080832 its reverse (23808011), we get a palindrome (34888843).

The spelling of 11080832 in words is "eleven million, eighty thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 83 112 128 149 166 224 298 332 448 581 596 664 896 1043 1162 1192 1328 2086 2324 2384 2656 4172 4648 4768 5312 8344 9296 9536 10624 12367 16688 18592 19072 24734 33376 37184 49468 66752 74368 86569 98936 133504 173138 197872 346276 395744 692552 791488 1385104 1582976 2770208 5540416 11080832