Search a number
-
+
20068160 = 265717231
BaseRepresentation
bin100110010001…
…1011101000000
31101202120100012
41030203131000
520114140120
61554044052
7332401520
oct114433500
941676305
1020068160
1110367562
126879628
134208468
142945680
151b661c5
hex1323740

20068160 has 168 divisors, whose sum is σ = 59887104. Its totient is φ = 6266880.

The previous prime is 20068141. The next prime is 20068163. The reversal of 20068160 is 6186002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20068163) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 647345 + ... + 647375.

Almost surely, 220068160 is an apocalyptic number.

20068160 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 20068160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29943552).

20068160 is an abundant number, since it is smaller than the sum of its proper divisors (39818944).

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

20068160 is a wasteful number, since it uses less digits than its factorization.

20068160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 20068160 is about 4479.7499930242. The cubic root of 20068160 is about 271.7497698679.

The spelling of 20068160 in words is "twenty million, sixty-eight thousand, one hundred sixty".