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11308032 = 21033409
BaseRepresentation
bin101011001000…
…110000000000
3210021111201000
4223020300000
510343324112
61042212000
7165055011
oct53106000
923244630
1011308032
11642398a
123954000
13245c058
141705008
15ed57dc
hexac8c00

11308032 has 88 divisors (see below), whose sum is σ = 33570800. Its totient is φ = 3760128.

The previous prime is 11308013. The next prime is 11308039. The reversal of 11308032 is 23080311.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11307996 and 11308014.

It is not an unprimeable number, because it can be changed into a prime (11308039) 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, 27444 + ... + 27852.

Almost surely, 211308032 is an apocalyptic number.

11308032 is a gapful number since it is divisible by the number (12) 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 11308032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16785400).

11308032 is an abundant number, since it is smaller than the sum of its proper divisors (22262768).

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

11308032 is an equidigital number, since it uses as much as digits as its factorization.

11308032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 11308032 is about 3362.7417385223. The cubic root of 11308032 is about 224.4548580456.

Adding to 11308032 its reverse (23080311), we get a palindrome (34388343).

The spelling of 11308032 in words is "eleven million, three hundred eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 409 432 512 576 768 818 864 1024 1152 1227 1536 1636 1728 2304 2454 3072 3272 3456 3681 4608 4908 6544 6912 7362 9216 9816 11043 13088 13824 14724 19632 22086 26176 27648 29448 39264 44172 52352 58896 78528 88344 104704 117792 157056 176688 209408 235584 314112 353376 418816 471168 628224 706752 942336 1256448 1413504 1884672 2827008 3769344 5654016 11308032