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23640064 = 21171797
BaseRepresentation
bin101101000101…
…1100000000000
31122111001001221
41122023200000
522022440224
62202404424
7404636320
oct132134000
948431057
1023640064
1112387148
127b00714
134b89206
1431d5280
15211e6e4
hex168b800

23640064 has 96 divisors (see below), whose sum is σ = 57788640. Its totient is φ = 9437184.

The previous prime is 23640059. The next prime is 23640083. The reversal of 23640064 is 46004632.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 243664 + ... + 243760.

It is an arithmetic number, because the mean of its divisors is an integer number (601965).

Almost surely, 223640064 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 23640064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28894320).

23640064 is an abundant number, since it is smaller than the sum of its proper divisors (34148576).

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

23640064 is an equidigital number, since it uses as much as digits as its factorization.

23640064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 23640064 is about 4862.1048939734. The cubic root of 23640064 is about 287.0006515381. Note that the first 3 decimals are identical.

Adding to 23640064 its reverse (46004632), we get a palindrome (69644696).

The spelling of 23640064 in words is "twenty-three million, six hundred forty thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 97 112 119 128 136 194 224 238 256 272 388 448 476 512 544 679 776 896 952 1024 1088 1358 1552 1649 1792 1904 2048 2176 2716 3104 3298 3584 3808 4352 5432 6208 6596 7168 7616 8704 10864 11543 12416 13192 14336 15232 17408 21728 23086 24832 26384 30464 34816 43456 46172 49664 52768 60928 86912 92344 99328 105536 121856 173824 184688 198656 211072 243712 347648 369376 422144 695296 738752 844288 1390592 1477504 1688576 2955008 3377152 5910016 11820032 23640064