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23000064 = 21037487
BaseRepresentation
bin101011110111…
…1010000000000
31121021112011020
41113233100000
521342000224
62140545440
7366332403
oct127572000
947245136
1023000064
1111a8a31a
127852280
1349c3b09
1430a9d3a
152044c79
hex15ef400

23000064 has 44 divisors (see below), whose sum is σ = 61311744. Its totient is φ = 7665664.

The previous prime is 23000059. The next prime is 23000071. The reversal of 23000064 is 46000032.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 672 + ... + 6815.

Almost surely, 223000064 is an apocalyptic number.

23000064 is a gapful number since it is divisible by the number (24) 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 23000064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30655872).

23000064 is an abundant number, since it is smaller than the sum of its proper divisors (38311680).

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

23000064 is an equidigital number, since it uses as much as digits as its factorization.

23000064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7510 (or 7492 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 23000064 is about 4795.8381957693. The cubic root of 23000064 is about 284.3869617639.

Adding to 23000064 its reverse (46000032), we get a palindrome (69000096).

The spelling of 23000064 in words is "twenty-three million, sixty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 3072 7487 14974 22461 29948 44922 59896 89844 119792 179688 239584 359376 479168 718752 958336 1437504 1916672 2875008 3833344 5750016 7666688 11500032 23000064