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20728770 = 235312719
BaseRepresentation
bin100111100010…
…0101111000010
31110000010112020
41033010233002
520301310040
62020142310
7341122506
oct117045702
943003466
1020728770
1110778917
126b37996
1343aa05a
142a78306
151c46cd0
hex13c4bc2

20728770 has 48 divisors (see below), whose sum is σ = 51477120. Its totient is φ = 5341920.

The previous prime is 20728759. The next prime is 20728781. The reversal of 20728770 is 7782702.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20728759) and next prime (20728781).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28471 + ... + 29189.

It is an arithmetic number, because the mean of its divisors is an integer number (1072440).

Almost surely, 220728770 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20728770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25738560).

20728770 is an abundant number, since it is smaller than the sum of its proper divisors (30748350).

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

20728770 is a wasteful number, since it uses less digits than its factorization.

20728770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 10976, while the sum is 33.

The square root of 20728770 is about 4552.8858979772. The cubic root of 20728770 is about 274.6994843931.

The spelling of 20728770 in words is "twenty million, seven hundred twenty-eight thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 186 310 465 719 930 961 1438 1922 2157 2883 3595 4314 4805 5766 7190 9610 10785 14415 21570 22289 28830 44578 66867 111445 133734 222890 334335 668670 690959 1381918 2072877 3454795 4145754 6909590 10364385 20728770