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13003494 = 237674621
BaseRepresentation
bin110001100110…
…101011100110
3220110122102220
4301212223212
511312102434
61142413210
7215346030
oct61465346
926418386
1013003494
117381799
124431206
13290399a
141a26c50
15121cd49
hexc66ae6

13003494 has 32 divisors (see below), whose sum is σ = 30172416. Its totient is φ = 3659040.

The previous prime is 13003493. The next prime is 13003499. The reversal of 13003494 is 49430031.

It is a super-3 number, since 3×130034943 (a number of 22 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13003493) 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 15 ways as a sum of consecutive naturals, for example, 504 + ... + 5124.

It is an arithmetic number, because the mean of its divisors is an integer number (942888).

Almost surely, 213003494 is an apocalyptic number.

13003494 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13003494, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15086208).

13003494 is an abundant number, since it is smaller than the sum of its proper divisors (17168922).

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

13003494 is a wasteful number, since it uses less digits than its factorization.

13003494 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4700.

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 13003494 is about 3606.0357735330. The cubic root of 13003494 is about 235.1545324323.

The spelling of 13003494 in words is "thirteen million, three thousand, four hundred ninety-four".

Divisors: 1 2 3 6 7 14 21 42 67 134 201 402 469 938 1407 2814 4621 9242 13863 27726 32347 64694 97041 194082 309607 619214 928821 1857642 2167249 4334498 6501747 13003494