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20866320 = 2432573397
BaseRepresentation
bin100111110011…
…0010100010000
31110021010012200
41033212110100
520320210240
62023123200
7342234516
oct117462420
943233180
1020866320
11108621a2
126ba3500
134427847
142ab24b6
151c72930
hex13e6510

20866320 has 120 divisors (see below), whose sum is σ = 71214936. Its totient is φ = 5474304.

The previous prime is 20866319. The next prime is 20866337. The reversal of 20866320 is 2366802.

20866320 is a `hidden beast` number, since 20 + 8 + 6 + 632 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3825936 + 17040384 = 1956^2 + 4128^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 52362 + ... + 52758.

Almost surely, 220866320 is an apocalyptic number.

20866320 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 20866320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35607468).

20866320 is an abundant number, since it is smaller than the sum of its proper divisors (50348616).

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

20866320 is a wasteful number, since it uses less digits than its factorization.

20866320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 20866320 is about 4567.9667249226. The cubic root of 20866320 is about 275.3057535915.

The spelling of 20866320 in words is "twenty million, eight hundred sixty-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 73 80 90 120 144 146 180 219 240 292 360 365 397 438 584 657 720 730 794 876 1095 1168 1191 1314 1460 1588 1752 1985 2190 2382 2628 2920 3176 3285 3504 3573 3970 4380 4764 5256 5840 5955 6352 6570 7146 7940 8760 9528 10512 11910 13140 14292 15880 17520 17865 19056 23820 26280 28584 28981 31760 35730 47640 52560 57168 57962 71460 86943 95280 115924 142920 144905 173886 231848 260829 285840 289810 347772 434715 463696 521658 579620 695544 869430 1043316 1159240 1304145 1391088 1738860 2086632 2318480 2608290 3477720 4173264 5216580 6955440 10433160 20866320