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20672288 = 2571331229
BaseRepresentation
bin100111011011…
…0111100100000
31102220021001022
41032312330200
520243003123
62015025012
7340466030
oct116667440
942807038
1020672288
111073a43a
126b0b168
13438a430
142a618c0
151c351c8
hex13b6f20

20672288 has 96 divisors (see below), whose sum is σ = 51932160. Its totient is φ = 7879680.

The previous prime is 20672287. The next prime is 20672299. The reversal of 20672288 is 88227602.

It is not an unprimeable number, because it can be changed into a prime (20672287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90158 + ... + 90386.

It is an arithmetic number, because the mean of its divisors is an integer number (540960).

Almost surely, 220672288 is an apocalyptic number.

20672288 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 20672288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25966080).

20672288 is an abundant number, since it is smaller than the sum of its proper divisors (31259872).

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

20672288 is a wasteful number, since it uses less digits than its factorization.

20672288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 20672288 is about 4546.6787878626. The cubic root of 20672288 is about 274.4497559563.

The spelling of 20672288 in words is "twenty million, six hundred seventy-two thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 31 32 52 56 62 91 104 112 124 182 208 217 224 229 248 364 403 416 434 458 496 728 806 868 916 992 1456 1603 1612 1736 1832 2821 2912 2977 3206 3224 3472 3664 5642 5954 6412 6448 6944 7099 7328 11284 11908 12824 12896 14198 20839 22568 23816 25648 28396 41678 45136 47632 49693 51296 56792 83356 90272 92287 95264 99386 113584 166712 184574 198772 227168 333424 369148 397544 646009 666848 738296 795088 1292018 1476592 1590176 2584036 2953184 5168072 10336144 20672288