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20217960 = 23325771113
BaseRepresentation
bin100110100100…
…0000001101000
31102001011211100
41031020001220
520133433320
62001201400
7333564330
oct115100150
942034740
1020217960
111045a064
126930260
13425b6b9
1429840c0
151b95790
hex1348068

20217960 has 192 divisors, whose sum is σ = 76826880. Its totient is φ = 4515840.

The previous prime is 20217949. The next prime is 20218013. The reversal of 20217960 is 6971202.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 178864 + ... + 178976.

It is an arithmetic number, because the mean of its divisors is an integer number (400140).

Almost surely, 220217960 is an apocalyptic number.

20217960 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 20217960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38413440).

20217960 is an abundant number, since it is smaller than the sum of its proper divisors (56608920).

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

20217960 is a wasteful number, since it uses less digits than its factorization.

20217960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 20217960 is about 4496.4385907071. The cubic root of 20217960 is about 272.4242586118.

The spelling of 20217960 in words is "twenty million, two hundred seventeen thousand, nine hundred sixty".