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23866920 = 23335721141
BaseRepresentation
bin101101100001…
…0111000101000
31122220120021000
41123002320220
522102220140
62211315000
7406602600
oct133027050
948816230
1023866920
1112521630
127baba60
134c3854c
143253c00
152166a30
hex16c2e28

23866920 has 384 divisors, whose sum is σ = 103420800. Its totient is φ = 4838400.

The previous prime is 23866903. The next prime is 23866937. The reversal of 23866920 is 2966832.

It is an interprime number because it is at equal distance from previous prime (23866903) and next prime (23866937).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 582100 + ... + 582140.

It is an arithmetic number, because the mean of its divisors is an integer number (269325).

Almost surely, 223866920 is an apocalyptic number.

23866920 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 23866920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51710400).

23866920 is an abundant number, since it is smaller than the sum of its proper divisors (79553880).

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

23866920 is a wasteful number, since it uses less digits than its factorization.

23866920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 23866920 is about 4885.3781839280. The cubic root of 23866920 is about 287.9157739815.

The spelling of 23866920 in words is "twenty-three million, eight hundred sixty-six thousand, nine hundred twenty".