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20707488 = 25352663
BaseRepresentation
bin100111011111…
…1100010100000
31102222001100000
41032333202200
520300114423
62015500000
7341003454
oct116774240
942861300
1020707488
111076392a
126b27600
1343a0469
142a70664
151c40843
hex13bf8a0

20707488 has 72 divisors (see below), whose sum is σ = 61090848. Its totient is φ = 6899904.

The previous prime is 20707483. The next prime is 20707507. The reversal of 20707488 is 88470702.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (20707483) 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 11 ways as a sum of consecutive naturals, for example, 6445 + ... + 9107.

It is an arithmetic number, because the mean of its divisors is an integer number (848484).

Almost surely, 220707488 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 20707488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30545424).

20707488 is an abundant number, since it is smaller than the sum of its proper divisors (40383360).

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

20707488 is an equidigital number, since it uses as much as digits as its factorization.

20707488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2688 (or 2668 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 20707488 is about 4550.5480988558. The cubic root of 20707488 is about 274.6054418893.

The spelling of 20707488 in words is "twenty million, seven hundred seven thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1944 2592 2663 3888 5326 7776 7989 10652 15978 21304 23967 31956 42608 47934 63912 71901 85216 95868 127824 143802 191736 215703 255648 287604 383472 431406 575208 647109 766944 862812 1150416 1294218 1725624 2300832 2588436 3451248 5176872 6902496 10353744 20707488