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20535660 = 22335172237
BaseRepresentation
bin100111001010…
…1100101101100
31102122022122000
41032111211230
520224120120
62012052300
7336356505
oct116254554
942568560
1020535660
1110656822
126a64090
1343401a2
142a27bac
151c09990
hex139596c

20535660 has 96 divisors (see below), whose sum is σ = 67677120. Its totient is φ = 5151744.

The previous prime is 20535659. The next prime is 20535661. The reversal of 20535660 is 6653502.

It is an interprime number because it is at equal distance from previous prime (20535659) and next prime (20535661).

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

It is not an unprimeable number, because it can be changed into a prime (20535661) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 8062 + ... + 10298.

It is an arithmetic number, because the mean of its divisors is an integer number (704970).

Almost surely, 220535660 is an apocalyptic number.

20535660 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 20535660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33838560).

20535660 is an abundant number, since it is smaller than the sum of its proper divisors (47141460).

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

20535660 is a wasteful number, since it uses less digits than its factorization.

20535660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2272 (or 2264 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 20535660 is about 4531.6288462318. The cubic root of 20535660 is about 273.8437847176.

The spelling of 20535660 in words is "twenty million, five hundred thirty-five thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 85 90 102 108 135 153 170 180 204 255 270 306 340 459 510 540 612 765 918 1020 1530 1836 2237 2295 3060 4474 4590 6711 8948 9180 11185 13422 20133 22370 26844 33555 38029 40266 44740 60399 67110 76058 80532 100665 114087 120798 134220 152116 190145 201330 228174 241596 301995 342261 380290 402660 456348 570435 603990 684522 760580 1026783 1140870 1207980 1369044 1711305 2053566 2281740 3422610 4107132 5133915 6845220 10267830 20535660