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20025660 = 22351729677
BaseRepresentation
bin100110001100…
…1000100111100
31101200102001010
41030121010330
520111310120
61553115220
7332133564
oct114310474
941612033
1020025660
1110338636
126858b10
1341c2005
142933da4
151b587e0
hex131913c

20025660 has 96 divisors (see below), whose sum is σ = 61508160. Its totient is φ = 4845568.

The previous prime is 20025637. The next prime is 20025661. The reversal of 20025660 is 6652002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20025661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29242 + ... + 29918.

It is an arithmetic number, because the mean of its divisors is an integer number (640710).

Almost surely, 220025660 is an apocalyptic number.

20025660 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 20025660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30754080).

20025660 is an abundant number, since it is smaller than the sum of its proper divisors (41482500).

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

20025660 is a wasteful number, since it uses less digits than its factorization.

20025660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 20025660 is about 4475.0039106128. The cubic root of 20025660 is about 271.5577986419.

Adding to 20025660 its reverse (6652002), we get a palindrome (26677662).

The spelling of 20025660 in words is "twenty million, twenty-five thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 29 30 34 51 58 60 68 85 87 102 116 145 170 174 204 255 290 340 348 435 493 510 580 677 870 986 1020 1354 1479 1740 1972 2031 2465 2708 2958 3385 4062 4930 5916 6770 7395 8124 9860 10155 11509 13540 14790 19633 20310 23018 29580 34527 39266 40620 46036 57545 58899 69054 78532 98165 115090 117798 138108 172635 196330 230180 235596 294495 333761 345270 392660 588990 667522 690540 1001283 1177980 1335044 1668805 2002566 3337610 4005132 5006415 6675220 10012830 20025660