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20112288 = 25371732
BaseRepresentation
bin100110010111…
…0001110100000
31101211210212120
41030232032200
520122043123
61555024240
7332644260
oct114561640
941753776
1020112288
1110397729
12689b080
134222581
1429577a0
151b742e3
hex132e3a0

20112288 has 72 divisors (see below), whose sum is σ = 60687648. Its totient is φ = 5713152.

The previous prime is 20112277. The next prime is 20112319. The reversal of 20112288 is 88221102.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 116170 + ... + 116342.

It is an arithmetic number, because the mean of its divisors is an integer number (842884).

Almost surely, 220112288 is an apocalyptic number.

20112288 is a gapful number since it is divisible by the number (28) 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 20112288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30343824).

20112288 is an abundant number, since it is smaller than the sum of its proper divisors (40575360).

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

20112288 is an equidigital number, since it uses as much as digits as its factorization.

20112288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 185 counting only the distinct ones).

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

The square root of 20112288 is about 4484.6725632982. The cubic root of 20112288 is about 271.9488081284.

The spelling of 20112288 in words is "twenty million, one hundred twelve thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 173 224 336 346 519 672 692 1038 1211 1384 2076 2422 2768 3633 4152 4844 5536 7266 8304 9688 14532 16608 19376 29064 29929 38752 58128 59858 89787 116256 119716 179574 209503 239432 359148 419006 478864 628509 718296 838012 957728 1257018 1436592 1676024 2514036 2873184 3352048 5028072 6704096 10056144 20112288