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12464064 = 26337213
BaseRepresentation
bin101111100010…
…111111000000
3212110020111000
4233202333000
511142322224
61123052000
7210641244
oct57427700
925406430
1012464064
117043488
124211000
1327752b2
141926424
1511630c9
hexbe2fc0

12464064 has 56 divisors (see below), whose sum is σ = 36647120. Its totient is φ = 4154112.

The previous prime is 12464047. The next prime is 12464119. The reversal of 12464064 is 46046421.

12464064 is a `hidden beast` number, since 12 + 4 + 640 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

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 7 ways as a sum of consecutive naturals, for example, 1879 + ... + 5334.

Almost surely, 212464064 is an apocalyptic number.

It is an amenable number.

12464064 is an abundant number, since it is smaller than the sum of its proper divisors (24183056).

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

12464064 is an equidigital number, since it uses as much as digits as its factorization.

12464064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7234 (or 7218 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 12464064 is about 3530.4481301954. The cubic root of 12464064 is about 231.8568280332.

The spelling of 12464064 in words is "twelve million, four hundred sixty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 7213 14426 21639 28852 43278 57704 64917 86556 115408 129834 173112 194751 230816 259668 346224 389502 461632 519336 692448 779004 1038672 1384896 1558008 2077344 3116016 4154688 6232032 12464064