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20868120 = 2332573132
BaseRepresentation
bin100111110011…
…0110000011000
31110021012200100
41033212300120
520320234440
62023135400
7342243000
oct117466030
943235610
1020868120
1110863589
126ba4560
134428600
142ab3000
151c73230
hex13e6c18

20868120 has 288 divisors, whose sum is σ = 85644000. Its totient is φ = 4402944.

The previous prime is 20868091. The next prime is 20868121. The reversal of 20868120 is 2186802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20868121) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1605234 + ... + 1605246.

It is an arithmetic number, because the mean of its divisors is an integer number (297375).

Almost surely, 220868120 is an apocalyptic number.

20868120 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 20868120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42822000).

20868120 is an abundant number, since it is smaller than the sum of its proper divisors (64775880).

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

20868120 is a wasteful number, since it uses less digits than its factorization.

20868120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 20868120 is about 4568.1637448761. The cubic root of 20868120 is about 275.3136696353.

The spelling of 20868120 in words is "twenty million, eight hundred sixty-eight thousand, one hundred twenty".