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20095968 = 253209333
BaseRepresentation
bin100110010101…
…0001111100000
31101210222111010
41030222033200
520121032333
61554420520
7332545554
oct114521740
941728433
1020095968
1110386442
126891740
134218009
142951864
151b6e563
hex132a3e0

20095968 has 24 divisors (see below), whose sum is σ = 52752168. Its totient is φ = 6698624.

The previous prime is 20095961. The next prime is 20095969. The reversal of 20095968 is 86959002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20095961) 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 3 ways as a sum of consecutive naturals, for example, 104571 + ... + 104762.

It is an arithmetic number, because the mean of its divisors is an integer number (2198007).

Almost surely, 220095968 is an apocalyptic number.

It is an amenable number.

20095968 is an abundant number, since it is smaller than the sum of its proper divisors (32656200).

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

20095968 is a wasteful number, since it uses less digits than its factorization.

20095968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209346 (or 209338 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 20095968 is about 4482.8526632045. The cubic root of 20095968 is about 271.8752311268.

The spelling of 20095968 in words is "twenty million, ninety-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 209333 418666 627999 837332 1255998 1674664 2511996 3349328 5023992 6698656 10047984 20095968