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23676660 = 223257192343
BaseRepresentation
bin101101001010…
…0011011110100
31122112220021100
41122110123310
522030123120
62203250100
7405151110
oct132243364
948486240
1023676660
1112401697
127b19930
134b9ca77
143204740
15212a490
hex16946f4

23676660 has 288 divisors, whose sum is σ = 92252160. Its totient is φ = 4790016.

The previous prime is 23676647. The next prime is 23676671. The reversal of 23676660 is 6667632.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 550599 + ... + 550641.

It is an arithmetic number, because the mean of its divisors is an integer number (320320).

Almost surely, 223676660 is an apocalyptic number.

23676660 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 23676660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46126080).

23676660 is an abundant number, since it is smaller than the sum of its proper divisors (68575500).

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

23676660 is a wasteful number, since it uses less digits than its factorization.

23676660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 23676660 is about 4865.8668292505. The cubic root of 23676660 is about 287.1486722984.

Subtracting from 23676660 its reverse (6667632), we obtain a triangular number (17009028 = T5832).

It can be divided in two parts, 23676 and 660, that added together give a square (24336 = 1562).

The spelling of 23676660 in words is "twenty-three million, six hundred seventy-six thousand, six hundred sixty".