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20728320 = 29352699
BaseRepresentation
bin100111100010…
…0101000000000
31110000002220120
41033010220000
520301301240
62020140240
7341121264
oct117045000
943002816
1020728320
1110778548
126b37680
1343a9aa2
142a780a4
151c46ad0
hex13c4a00

20728320 has 80 divisors (see below), whose sum is σ = 66290400. Its totient is φ = 5525504.

The previous prime is 20728291. The next prime is 20728339. The reversal of 20728320 is 2382702.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6331 + ... + 9029.

It is an arithmetic number, because the mean of its divisors is an integer number (828630).

Almost surely, 220728320 is an apocalyptic number.

20728320 is a gapful number since it is divisible by the number (20) 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 20728320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33145200).

20728320 is an abundant number, since it is smaller than the sum of its proper divisors (45562080).

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

20728320 is an equidigital number, since it uses as much as digits as its factorization.

20728320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2725 (or 2709 counting only the distinct ones).

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

The square root of 20728320 is about 4552.8364785044. The cubic root of 20728320 is about 274.6974965656.

The spelling of 20728320 in words is "twenty million, seven hundred twenty-eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1280 1536 1920 2560 2699 3840 5398 7680 8097 10796 13495 16194 21592 26990 32388 40485 43184 53980 64776 80970 86368 107960 129552 161940 172736 215920 259104 323880 345472 431840 518208 647760 690944 863680 1036416 1295520 1381888 1727360 2072832 2591040 3454720 4145664 5182080 6909440 10364160 20728320