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20728656 = 2433133691
BaseRepresentation
bin100111100010…
…0101101010000
31110000010101000
41033010231100
520301304111
62020142000
7341122254
oct117045520
943003330
1020728656
1110778823
126b37900
1343a9ca0
142a78264
151c46c56
hex13c4b50

20728656 has 80 divisors (see below), whose sum is σ = 64093120. Its totient is φ = 6376320.

The previous prime is 20728637. The next prime is 20728691. The reversal of 20728656 is 65682702.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20728656.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 3771 + ... + 7461.

It is an arithmetic number, because the mean of its divisors is an integer number (801164).

Almost surely, 220728656 is an apocalyptic number.

20728656 is a gapful number since it is divisible by the number (26) 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 20728656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32046560).

20728656 is an abundant number, since it is smaller than the sum of its proper divisors (43364464).

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

20728656 is a wasteful number, since it uses less digits than its factorization.

20728656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3721 (or 3709 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 20728656 is about 4552.8733784282. The cubic root of 20728656 is about 274.6989808129.

The spelling of 20728656 in words is "twenty million, seven hundred twenty-eight thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 702 936 1404 1872 2808 3691 5616 7382 11073 14764 22146 29528 33219 44292 47983 59056 66438 88584 95966 99657 132876 143949 177168 191932 199314 265752 287898 383864 398628 431847 531504 575796 767728 797256 863694 1151592 1295541 1594512 1727388 2303184 2591082 3454776 5182164 6909552 10364328 20728656