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13203424 = 2513171867
BaseRepresentation
bin110010010111…
…011111100000
3220211210200201
4302113133200
511340002144
61150554544
7220140643
oct62273740
926753621
1013203424
1174a8a23
124508a54
1329739a0
141a79a5a
15125c1d4
hexc977e0

13203424 has 48 divisors (see below), whose sum is σ = 29656368. Its totient is φ = 5732352.

The previous prime is 13203419. The next prime is 13203431. The reversal of 13203424 is 42430231.

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, 6139 + ... + 8005.

It is an arithmetic number, because the mean of its divisors is an integer number (617841).

Almost surely, 213203424 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 13203424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14828184).

13203424 is an abundant number, since it is smaller than the sum of its proper divisors (16452944).

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

13203424 is a wasteful number, since it uses less digits than its factorization.

13203424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1907 (or 1899 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 13203424 is about 3633.6516068550. The cubic root of 13203424 is about 236.3535827892.

Adding to 13203424 its reverse (42430231), we get a palindrome (55633655).

The spelling of 13203424 in words is "thirteen million, two hundred three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 104 136 208 221 272 416 442 544 884 1768 1867 3536 3734 7072 7468 14936 24271 29872 31739 48542 59744 63478 97084 126956 194168 253912 388336 412607 507824 776672 825214 1015648 1650428 3300856 6601712 13203424