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12513024 = 28325431
BaseRepresentation
bin101111101110…
…111100000000
3212112201122100
4233232330000
511200404044
61124110400
7211234056
oct57567400
925481570
1012513024
117077247
124235400
132791674
14193a1d6
151172869
hexbeef00

12513024 has 54 divisors (see below), whose sum is σ = 36084776. Its totient is φ = 4170240.

The previous prime is 12513023. The next prime is 12513029. The reversal of 12513024 is 42031521.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12512988 and 12513006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12513023) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 412 + ... + 5019.

Almost surely, 212513024 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 12513024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18042388).

12513024 is an abundant number, since it is smaller than the sum of its proper divisors (23571752).

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

12513024 is an equidigital number, since it uses as much as digits as its factorization.

12513024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5453 (or 5436 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 12513024 is about 3537.3752981554. The cubic root of 12513024 is about 232.1600164403.

Adding to 12513024 its reverse (42031521), we get a palindrome (54544545).

The spelling of 12513024 in words is "twelve million, five hundred thirteen thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 5431 10862 16293 21724 32586 43448 48879 65172 86896 97758 130344 173792 195516 260688 347584 391032 521376 695168 782064 1042752 1390336 1564128 2085504 3128256 4171008 6256512 12513024