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23746968 = 23327253127
BaseRepresentation
bin101101010010…
…1100110011000
31122200110201100
41122211212120
522034400333
62204551400
7405563100
oct132454630
948613640
1023746968
111244a4a3
127b52560
134bc5a7b
143222200
152141213
hex16a5998

23746968 has 144 divisors (see below), whose sum is σ = 76826880. Its totient is φ = 6604416.

The previous prime is 23746967. The next prime is 23746993. The reversal of 23746968 is 86964732.

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

Its product of digits (435456) is a multiple of the sum of its prime divisors (192).

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23746963) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 186921 + ... + 187047.

It is an arithmetic number, because the mean of its divisors is an integer number (533520).

Almost surely, 223746968 is an apocalyptic number.

23746968 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 23746968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38413440).

23746968 is an abundant number, since it is smaller than the sum of its proper divisors (53079912).

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

23746968 is a wasteful number, since it uses less digits than its factorization.

23746968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 192 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 23746968 is about 4873.0860858392. The cubic root of 23746968 is about 287.4326213874.

The spelling of 23746968 in words is "twenty-three million, seven hundred forty-six thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 53 56 63 72 84 98 106 126 127 147 159 168 196 212 252 254 294 318 371 381 392 424 441 477 504 508 588 636 742 762 882 889 954 1016 1113 1143 1176 1272 1484 1524 1764 1778 1908 2226 2286 2597 2667 2968 3048 3339 3528 3556 3816 4452 4572 5194 5334 6223 6678 6731 7112 7791 8001 8904 9144 10388 10668 12446 13356 13462 15582 16002 18669 20193 20776 21336 23373 24892 26712 26924 31164 32004 37338 40386 46746 47117 49784 53848 56007 60579 62328 64008 74676 80772 93492 94234 112014 121158 141351 149352 161544 186984 188468 224028 242316 282702 329819 376936 424053 448056 484632 565404 659638 848106 989457 1130808 1319276 1696212 1978914 2638552 2968371 3392424 3957828 5936742 7915656 11873484 23746968