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23064064 = 29107421
BaseRepresentation
bin101011111111…
…0111000000000
31121101202221121
41113332320000
521401022224
62142202024
7400020112
oct127767000
947352847
1023064064
1112023411
127883314
134a16c9a
1430c53b2
152058be4
hex15fee00

23064064 has 40 divisors (see below), whose sum is σ = 46624248. Its totient is φ = 11397120.

The previous prime is 23064047. The next prime is 23064109. The reversal of 23064064 is 46046032.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 54574 + ... + 54994.

Almost surely, 223064064 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 23064064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23312124).

23064064 is an abundant number, since it is smaller than the sum of its proper divisors (23560184).

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

23064064 is an equidigital number, since it uses as much as digits as its factorization.

23064064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 530 counting only the distinct ones).

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

The square root of 23064064 is about 4802.5060124897. The cubic root of 23064064 is about 284.6504959549.

The spelling of 23064064 in words is "twenty-three million, sixty-four thousand, sixty-four".

Divisors: 1 2 4 8 16 32 64 107 128 214 256 421 428 512 842 856 1684 1712 3368 3424 6736 6848 13472 13696 26944 27392 45047 53888 54784 90094 107776 180188 215552 360376 720752 1441504 2883008 5766016 11532032 23064064