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20728305 = 3451331127
BaseRepresentation
bin100111100010…
…0100111110001
31110000002220000
41033010213301
520301301210
62020140213
7341121243
oct117044761
943002800
1020728305
1110778534
126b37669
1343a9a90
142a78093
151c46ac0
hex13c49f1

20728305 has 80 divisors (see below), whose sum is σ = 41631744. Its totient is φ = 9797760.

The previous prime is 20728291. The next prime is 20728339. The reversal of 20728305 is 50382702.

It is not a de Polignac number, because 20728305 - 24 = 20728289 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 163152 + ... + 163278.

Almost surely, 220728305 is an apocalyptic number.

It is an amenable number.

20728305 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

20728305 is a wasteful number, since it uses less digits than its factorization.

20728305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 20728305 is about 4552.8348311794. The cubic root of 20728305 is about 274.6974303041.

The spelling of 20728305 in words is "twenty million, seven hundred twenty-eight thousand, three hundred five".

Divisors: 1 3 5 9 13 15 27 31 39 45 65 81 93 117 127 135 155 195 279 351 381 403 405 465 585 635 837 1053 1143 1209 1395 1651 1755 1905 2015 2511 3429 3627 3937 4185 4953 5265 5715 6045 8255 10287 10881 11811 12555 14859 17145 18135 19685 24765 32643 35433 44577 51181 51435 54405 59055 74295 106299 133731 153543 163215 177165 222885 255905 318897 460629 531495 668655 767715 1381887 1594485 2303145 4145661 6909435 20728305