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23569728 = 2637131971
BaseRepresentation
bin101100111101…
…0010101000000
31122100110120220
41121322111000
522013212403
62201103040
7404224260
oct131722500
948313526
1023569728
1112339316
127a87a80
134b631b0
1431b77a0
152108953
hex167a540

23569728 has 224 divisors, whose sum is σ = 81930240. Its totient is φ = 5806080.

The previous prime is 23569717. The next prime is 23569751. The reversal of 23569728 is 82796532.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 23569728.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 331933 + ... + 332003.

It is an arithmetic number, because the mean of its divisors is an integer number (365760).

Almost surely, 223569728 is an apocalyptic number.

23569728 is a gapful number since it is divisible by the number (28) 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 23569728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40965120).

23569728 is an abundant number, since it is smaller than the sum of its proper divisors (58360512).

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

23569728 is a wasteful number, since it uses less digits than its factorization.

23569728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 115 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The square root of 23569728 is about 4854.8664245270. The cubic root of 23569728 is about 286.7157322421.

The spelling of 23569728 in words is "twenty-three million, five hundred sixty-nine thousand, seven hundred twenty-eight".