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20748728 = 23711132591
BaseRepresentation
bin100111100100…
…1100110111000
31110001010220102
41033021212320
520302424403
62020414532
7341234630
oct117114670
943033812
1020748728
1110791910
126b47448
1343b6170
142a816c0
151c4cb88
hex13c99b8

20748728 has 64 divisors (see below), whose sum is σ = 52254720. Its totient is φ = 7459200.

The previous prime is 20748727. The next prime is 20748751. The reversal of 20748728 is 82784702.

It is a junction number, because it is equal to n+sod(n) for n = 20748691 and 20748700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20748727) 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, 6713 + ... + 9303.

It is an arithmetic number, because the mean of its divisors is an integer number (816480).

Almost surely, 220748728 is an apocalyptic number.

20748728 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 20748728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26127360).

20748728 is an abundant number, since it is smaller than the sum of its proper divisors (31505992).

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

20748728 is a wasteful number, since it uses less digits than its factorization.

20748728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2628 (or 2624 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 38.

The square root of 20748728 is about 4555.0771672937. The cubic root of 20748728 is about 274.7876178379.

The spelling of 20748728 in words is "twenty million, seven hundred forty-eight thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 104 143 154 182 286 308 364 572 616 728 1001 1144 2002 2591 4004 5182 8008 10364 18137 20728 28501 33683 36274 57002 67366 72548 114004 134732 145096 199507 228008 235781 269464 370513 399014 471562 741026 798028 943124 1482052 1596056 1886248 2593591 2964104 5187182 10374364 20748728