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23671872 = 2633719103
BaseRepresentation
bin101101001001…
…1010001000000
31122112122201000
41122103101000
522024444442
62203212000
7405131130
oct132232100
948478630
1023671872
11123a9034
127b17000
134b9a833
143202ac0
152128d4c
hex1693440

23671872 has 224 divisors, whose sum is σ = 84531200. Its totient is φ = 6345216.

The previous prime is 23671861. The next prime is 23671909. The reversal of 23671872 is 27817632.

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 (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 229773 + ... + 229875.

Almost surely, 223671872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23671872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42265600).

23671872 is an abundant number, since it is smaller than the sum of its proper divisors (60859328).

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

23671872 is a wasteful number, since it uses less digits than its factorization.

23671872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 134 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 23671872 is about 4865.3748057061. The cubic root of 23671872 is about 287.1293148309.

Subtracting 23671872 from its reverse (27817632), we obtain a triangular number (4145760 = T2879).

It can be divided in two parts, 2367187 and 2, that multiplied together give a palindrome (4734374).

The spelling of 23671872 in words is "twenty-three million, six hundred seventy-one thousand, eight hundred seventy-two".