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23382720 = 2632523353
BaseRepresentation
bin101100100110…
…0101011000000
31121222222001200
41121030223000
521441221340
62153101200
7402515124
oct131145300
947888050
1023382720
1112220869
1279b7800
134ac903a
143169584
1520bd330
hex164cac0

23382720 has 168 divisors, whose sum is σ = 84161376. Its totient is φ = 5947392.

The previous prime is 23382707. The next prime is 23382721. The reversal of 23382720 is 2728332.

It is not an unprimeable number, because it can be changed into a prime (23382721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66064 + ... + 66416.

Almost surely, 223382720 is an apocalyptic number.

23382720 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 23382720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42080688).

23382720 is an abundant number, since it is smaller than the sum of its proper divisors (60778656).

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

23382720 is a wasteful number, since it uses less digits than its factorization.

23382720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 23382720 is about 4835.5682189377. The cubic root of 23382720 is about 285.9554268972.

The spelling of 23382720 in words is "twenty-three million, three hundred eighty-two thousand, seven hundred twenty".