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23668736 = 211713127
BaseRepresentation
bin101101001001…
…0100000000000
31122112111101212
41122102200000
522024344421
62203145252
7405116030
oct132224000
948474355
1023668736
11123a6743
127b15228
134b99290
1432018c0
152127e5b
hex1692800

23668736 has 96 divisors (see below), whose sum is σ = 58705920. Its totient is φ = 9289728.

The previous prime is 23668681. The next prime is 23668739. The reversal of 23668736 is 63786632.

It is a junction number, because it is equal to n+sod(n) for n = 23668693 and 23668702.

It is not an unprimeable number, because it can be changed into a prime (23668739) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 186305 + ... + 186431.

It is an arithmetic number, because the mean of its divisors is an integer number (611520).

Almost surely, 223668736 is an apocalyptic number.

23668736 is a gapful number since it is divisible by the number (26) 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 23668736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29352960).

23668736 is an abundant number, since it is smaller than the sum of its proper divisors (35037184).

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

23668736 is a wasteful number, since it uses less digits than its factorization.

23668736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 149 counting only the distinct ones).

The product of its digits is 217728, while the sum is 41.

The square root of 23668736 is about 4865.0525177021. The cubic root of 23668736 is about 287.1166348409.

The spelling of 23668736 in words is "twenty-three million, six hundred sixty-eight thousand, seven hundred thirty-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 127 128 182 208 224 254 256 364 416 448 508 512 728 832 889 896 1016 1024 1456 1651 1664 1778 1792 2032 2048 2912 3302 3328 3556 3584 4064 5824 6604 6656 7112 7168 8128 11557 11648 13208 13312 14224 14336 16256 23114 23296 26416 26624 28448 32512 46228 46592 52832 56896 65024 92456 93184 105664 113792 130048 184912 186368 211328 227584 260096 369824 422656 455168 739648 845312 910336 1479296 1690624 1820672 2958592 3381248 5917184 11834368 23668736