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23685376 = 281113647
BaseRepresentation
bin101101001011…
…0100100000000
31122120100020011
41122112210000
522030413001
62203354304
7405215401
oct132264400
948510204
1023685376
11124081a0
127b22994
134ba3a20
1432079a8
15212cd51
hex1696900

23685376 has 72 divisors (see below), whose sum is σ = 55629504. Its totient is φ = 9922560.

The previous prime is 23685341. The next prime is 23685379. The reversal of 23685376 is 67358632.

It is a super-2 number, since 2×236853762 = 1121994072522752, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23685379) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36285 + ... + 36931.

It is an arithmetic number, because the mean of its divisors is an integer number (772632).

Almost surely, 223685376 is an apocalyptic number.

23685376 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 23685376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27814752).

23685376 is an abundant number, since it is smaller than the sum of its proper divisors (31944128).

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

23685376 is a wasteful number, since it uses less digits than its factorization.

23685376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 673 counting only the distinct ones).

The product of its digits is 181440, while the sum is 40.

The square root of 23685376 is about 4866.7623734881. The cubic root of 23685376 is about 287.1839036300.

It can be divided in two parts, 2368 and 5376, that added together give a square (7744 = 882).

The spelling of 23685376 in words is "twenty-three million, six hundred eighty-five thousand, three hundred seventy-six".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 128 143 176 208 256 286 352 416 572 647 704 832 1144 1294 1408 1664 2288 2588 2816 3328 4576 5176 7117 8411 9152 10352 14234 16822 18304 20704 28468 33644 36608 41408 56936 67288 82816 92521 113872 134576 165632 185042 227744 269152 370084 455488 538304 740168 910976 1076608 1480336 1821952 2153216 2960672 5921344 11842688 23685376