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12503064 = 2337193917
BaseRepresentation
bin101111101100…
…100000011000
3212112012222110
4233230200120
511200044224
61123552320
7211163040
oct57544030
925465873
1012503064
11706a812
12422b6a0
132789c82
141936720
15116e929
hexbec818

12503064 has 64 divisors (see below), whose sum is σ = 37612800. Its totient is φ = 3383424.

The previous prime is 12503059. The next prime is 12503131. The reversal of 12503064 is 46030521.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 12503064.

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 15 ways as a sum of consecutive naturals, for example, 1234 + ... + 5150.

It is an arithmetic number, because the mean of its divisors is an integer number (587700).

Almost surely, 212503064 is an apocalyptic number.

12503064 is a gapful number since it is divisible by the number (14) 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 12503064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18806400).

12503064 is an abundant number, since it is smaller than the sum of its proper divisors (25109736).

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

12503064 is a wasteful number, since it uses less digits than its factorization.

12503064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3952 (or 3948 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 12503064 is about 3535.9671944180. The cubic root of 12503064 is about 232.0984025691.

Adding to 12503064 its reverse (46030521), we get a palindrome (58533585).

The spelling of 12503064 in words is "twelve million, five hundred three thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 114 133 152 168 228 266 399 456 532 798 1064 1596 3192 3917 7834 11751 15668 23502 27419 31336 47004 54838 74423 82257 94008 109676 148846 164514 219352 223269 297692 329028 446538 520961 595384 658056 893076 1041922 1562883 1786152 2083844 3125766 4167688 6251532 12503064