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23764104 = 2334713231
BaseRepresentation
bin101101010100…
…1110010001000
31122201100020000
41122221302020
522040422404
62205203000
7405664050
oct132516210
948640200
1023764104
1112461361
127b60460
134c00800
143228560
152146339
hex16a9c88

23764104 has 240 divisors, whose sum is σ = 85029120. Its totient is φ = 6065280.

The previous prime is 23764067. The next prime is 23764109. The reversal of 23764104 is 40146732.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23764109) 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 59 ways as a sum of consecutive naturals, for example, 766569 + ... + 766599.

It is an arithmetic number, because the mean of its divisors is an integer number (354288).

Almost surely, 223764104 is an apocalyptic number.

23764104 is a gapful number since it is divisible by the number (24) 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 23764104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42514560).

23764104 is an abundant number, since it is smaller than the sum of its proper divisors (61265016).

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

23764104 is a wasteful number, since it uses less digits than its factorization.

23764104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 56 counting only the distinct ones).

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

The square root of 23764104 is about 4874.8439975039. The cubic root of 23764104 is about 287.5017426485.

The spelling of 23764104 in words is "twenty-three million, seven hundred sixty-four thousand, one hundred four".