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10624064 = 261115091
BaseRepresentation
bin101000100001…
…110001000000
3201222202110212
4220201301000
510204432224
61015413252
7156205643
oct50416100
921882425
1010624064
115aa7020
123684228
13227c939
1415a7a5a
15decd0e
hexa21c40

10624064 has 28 divisors (see below), whose sum is σ = 23000208. Its totient is φ = 4828800.

The previous prime is 10624057. The next prime is 10624067. The reversal of 10624064 is 46042601.

It is a happy number.

It is a super-2 number, since 2×106240642 = 225741471752192, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10624067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6842 + ... + 8249.

It is an arithmetic number, because the mean of its divisors is an integer number (821436).

Almost surely, 210624064 is an apocalyptic number.

It is an amenable number.

10624064 is an abundant number, since it is smaller than the sum of its proper divisors (12376144).

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

10624064 is a wasteful number, since it uses less digits than its factorization.

10624064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15114 (or 15104 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 10624064 is about 3259.4576235932. The cubic root of 10624064 is about 219.8350278378.

Adding to 10624064 its reverse (46042601), we get a palindrome (56666665).

The spelling of 10624064 in words is "ten million, six hundred twenty-four thousand, sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 704 15091 30182 60364 120728 166001 241456 332002 482912 664004 965824 1328008 2656016 5312032 10624064