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20666560 = 2651729131
BaseRepresentation
bin100111011010…
…1100011000000
31102212222012011
41032311203000
520242312220
62014542304
7340443235
oct116654300
942788164
1020666560
1110736102
126b07994
134387945
142a5d78c
151c3365a
hex13b58c0

20666560 has 112 divisors (see below), whose sum is σ = 54315360. Its totient is φ = 7454720.

The previous prime is 20666557. The next prime is 20666561. The reversal of 20666560 is 6566602.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (20666561) 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 15 ways as a sum of consecutive naturals, for example, 157695 + ... + 157825.

Almost surely, 220666560 is an apocalyptic number.

20666560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

20666560 is the 3712-nd pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20666560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27157680).

20666560 is an abundant number, since it is smaller than the sum of its proper divisors (33648800).

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

20666560 is a wasteful number, since it uses less digits than its factorization.

20666560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 20666560 is about 4546.0488338776. The cubic root of 20666560 is about 274.4244048933.

It can be divided in two parts, 206 and 66560, that added together give a palindrome (66766).

The spelling of 20666560 in words is "twenty million, six hundred sixty-six thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 29 32 34 40 58 64 68 80 85 116 131 136 145 160 170 232 262 272 290 320 340 464 493 524 544 580 655 680 928 986 1048 1088 1160 1310 1360 1856 1972 2096 2227 2320 2465 2620 2720 3799 3944 4192 4454 4640 4930 5240 5440 7598 7888 8384 8908 9280 9860 10480 11135 15196 15776 17816 18995 19720 20960 22270 30392 31552 35632 37990 39440 41920 44540 60784 64583 71264 75980 78880 89080 121568 129166 142528 151960 157760 178160 243136 258332 303920 322915 356320 516664 607840 645830 712640 1033328 1215680 1291660 2066656 2583320 4133312 5166640 10333280 20666560