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23920006320 = 24375719531
BaseRepresentation
bin10110010001101111…
…100101010010110000
32021202000201020000000
4112101233211102300
5342442010200240
614553320430000
71504521461520
oct262157452260
967660636000
1023920006320
11a165246871
124776918300
13234286bac2
14122cb75680
1594ee8e430
hex591be54b0

23920006320 has 320 divisors, whose sum is σ = 95328660480. Its totient is φ = 5467150080.

The previous prime is 23920006303. The next prime is 23920006321. The reversal of 23920006320 is 2360002932.

23920006320 is a `hidden beast` number, since 2 + 3 + 9 + 20 + 0 + 0 + 632 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (23920006321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1214955 + ... + 1234485.

It is an arithmetic number, because the mean of its divisors is an integer number (297902064).

Almost surely, 223920006320 is an apocalyptic number.

23920006320 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 23920006320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47664330240).

23920006320 is an abundant number, since it is smaller than the sum of its proper divisors (71408654160).

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

23920006320 is an equidigital number, since it uses as much as digits as its factorization.

23920006320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19572 (or 19548 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The spelling of 23920006320 in words is "twenty-three billion, nine hundred twenty million, six thousand, three hundred twenty".