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20728832 = 21031653
BaseRepresentation
bin100111100010…
…0110000000000
31110000010121112
41033010300000
520301310312
62020142452
7341122625
oct117046000
943003545
1020728832
1110778973
126b37a28
1343aa0a7
142a7834c
151c46d22
hex13c4c00

20728832 has 44 divisors (see below), whose sum is σ = 42839616. Its totient is φ = 10014720.

The previous prime is 20728817. The next prime is 20728847. The reversal of 20728832 is 23882702.

It is an interprime number because it is at equal distance from previous prime (20728817) and next prime (20728847).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 31418 + ... + 32070.

Almost surely, 220728832 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 20728832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21419808).

20728832 is an abundant number, since it is smaller than the sum of its proper divisors (22110784).

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

20728832 is an equidigital number, since it uses as much as digits as its factorization.

20728832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 20728832 is about 4552.8927068403. The cubic root of 20728832 is about 274.6997582694.

The spelling of 20728832 in words is "twenty million, seven hundred twenty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 496 512 653 992 1024 1306 1984 2612 3968 5224 7936 10448 15872 20243 20896 31744 40486 41792 80972 83584 161944 167168 323888 334336 647776 668672 1295552 2591104 5182208 10364416 20728832