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20728032 = 2531317977
BaseRepresentation
bin100111100010…
…0100011100000
31110000002111220
41033010203200
520301244112
62020135040
7341120403
oct117044340
943002456
1020728032
1110778306
126b37480
1343a9910
142a77d3a
151c4698c
hex13c48e0

20728032 has 96 divisors (see below), whose sum is σ = 62106912. Its totient is φ = 5996544.

The previous prime is 20728009. The next prime is 20728033. The reversal of 20728032 is 23082702.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 20727993 and 20728011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20728033) 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, 20728 + ... + 21704.

It is an arithmetic number, because the mean of its divisors is an integer number (646947).

Almost surely, 220728032 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 20728032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31053456).

20728032 is an abundant number, since it is smaller than the sum of its proper divisors (41378880).

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

20728032 is a wasteful number, since it uses less digits than its factorization.

20728032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 20728032 is about 4552.8048497602. The cubic root of 20728032 is about 274.6962243408.

The spelling of 20728032 in words is "twenty million, seven hundred twenty-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 68 78 96 102 104 136 156 204 208 221 272 312 408 416 442 544 624 663 816 884 977 1248 1326 1632 1768 1954 2652 2931 3536 3908 5304 5862 7072 7816 10608 11724 12701 15632 16609 21216 23448 25402 31264 33218 38103 46896 49827 50804 66436 76206 93792 99654 101608 132872 152412 199308 203216 215917 265744 304824 398616 406432 431834 531488 609648 647751 797232 863668 1219296 1295502 1594464 1727336 2591004 3454672 5182008 6909344 10364016 20728032