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13014248 = 2313172433
BaseRepresentation
bin110001101001…
…010011101000
3220111012012012
4301221103220
511312423443
61142535052
7215422262
oct61512350
926435165
1013014248
117389885
124437488
132908850
141a2ab32
151221118
hexc694e8

13014248 has 48 divisors (see below), whose sum is σ = 27979980. Its totient is φ = 5640192.

The previous prime is 13014247. The next prime is 13014257. The reversal of 13014248 is 84241031.

It can be written as a sum of positive squares in 6 ways, for example, as 4937284 + 8076964 = 2222^2 + 2842^2 .

It is not an unprimeable number, because it can be changed into a prime (13014247) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 29840 + ... + 30272.

Almost surely, 213014248 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 13014248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13989990).

13014248 is an abundant number, since it is smaller than the sum of its proper divisors (14965732).

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

13014248 is a wasteful number, since it uses less digits than its factorization.

13014248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 13014248 is about 3607.5265764787. The cubic root of 13014248 is about 235.2193395022.

Adding to 13014248 its reverse (84241031), we get a palindrome (97255279).

The spelling of 13014248 in words is "thirteen million, fourteen thousand, two hundred forty-eight".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 221 289 433 442 578 866 884 1156 1732 1768 2312 3464 3757 5629 7361 7514 11258 14722 15028 22516 29444 30056 45032 58888 95693 125137 191386 250274 382772 500548 765544 1001096 1626781 3253562 6507124 13014248