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23839120 = 245297989
BaseRepresentation
bin101101011110…
…0000110010000
31122212011010101
41122330012100
522100322440
62210542144
7406425544
oct132740620
948764111
1023839120
1112502758
127b97954
134c289b6
143247a24
15215d69a
hex16bc190

23839120 has 20 divisors (see below), whose sum is σ = 55426140. Its totient is φ = 9535616.

The previous prime is 23839111. The next prime is 23839121. The reversal of 23839120 is 2193832.

It can be written as a sum of positive squares in 2 ways, for example, as 16613776 + 7225344 = 4076^2 + 2688^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (23839121) 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, 148915 + ... + 149074.

It is an arithmetic number, because the mean of its divisors is an integer number (2771307).

Almost surely, 223839120 is an apocalyptic number.

23839120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23839120 is an abundant number, since it is smaller than the sum of its proper divisors (31587020).

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

23839120 is a wasteful number, since it uses less digits than its factorization.

23839120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298002 (or 297996 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 23839120 is about 4882.5321299506. The cubic root of 23839120 is about 287.8039432102.

The spelling of 23839120 in words is "twenty-three million, eight hundred thirty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 297989 595978 1191956 1489945 2383912 2979890 4767824 5959780 11919560 23839120