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20028736 = 2671319181
BaseRepresentation
bin100110001100…
…1110101000000
31101200120021001
41030121311000
520111404421
61553141344
7332145550
oct114316500
941616231
1020028736
111033a982
12685a854
1341c3530
142935160
151b59691
hex1319d40

20028736 has 112 divisors (see below), whose sum is σ = 51775360. Its totient is φ = 7464960.

The previous prime is 20028731. The next prime is 20028739. The reversal of 20028736 is 63782002.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20028731) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110566 + ... + 110746.

It is an arithmetic number, because the mean of its divisors is an integer number (462280).

Almost surely, 220028736 is an apocalyptic number.

20028736 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 20028736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25887680).

20028736 is an abundant number, since it is smaller than the sum of its proper divisors (31746624).

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

20028736 is a wasteful number, since it uses less digits than its factorization.

20028736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 20028736 is about 4475.3475842665. The cubic root of 20028736 is about 271.5717019543.

The spelling of 20028736 in words is "twenty million, twenty-eight thousand, seven hundred thirty-six".

Divisors: 1 2 4 7 8 13 14 16 19 26 28 32 38 52 56 64 76 91 104 112 133 152 181 182 208 224 247 266 304 362 364 416 448 494 532 608 724 728 832 988 1064 1216 1267 1448 1456 1729 1976 2128 2353 2534 2896 2912 3439 3458 3952 4256 4706 5068 5792 5824 6878 6916 7904 8512 9412 10136 11584 13756 13832 15808 16471 18824 20272 24073 27512 27664 32942 37648 40544 44707 48146 55024 55328 65884 75296 81088 89414 96292 110048 110656 131768 150592 178828 192584 220096 263536 312949 357656 385168 527072 625898 715312 770336 1054144 1251796 1430624 1540672 2503592 2861248 5007184 10014368 20028736