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13250016 = 2532133539
BaseRepresentation
bin110010100010…
…110111100000
3220221011121100
4302202313200
511343000031
61151554400
7220423533
oct62426740
926834540
1013250016
11752aa2a
12452ba00
13298bc60
141a8ca1a
15126ade6
hexca2de0

13250016 has 72 divisors (see below), whose sum is σ = 40589640. Its totient is φ = 4075776.

The previous prime is 13250009. The next prime is 13250101. The reversal of 13250016 is 61005231.

It is a tau number, because it is divible by the number of its divisors (72).

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

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 11 ways as a sum of consecutive naturals, for example, 1975 + ... + 5513.

It is an arithmetic number, because the mean of its divisors is an integer number (563745).

Almost surely, 213250016 is an apocalyptic number.

13250016 is a gapful number since it is divisible by the number (16) 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 13250016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20294820).

13250016 is an abundant number, since it is smaller than the sum of its proper divisors (27339624).

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

13250016 is a wasteful number, since it uses less digits than its factorization.

13250016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3568 (or 3557 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 13250016 is about 3640.0571424086. The cubic root of 13250016 is about 236.6312698059.

Adding to 13250016 its reverse (61005231), we get a palindrome (74255247).

The spelling of 13250016 in words is "thirteen million, two hundred fifty thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3539 3744 7078 10617 14156 21234 28312 31851 42468 46007 56624 63702 84936 92014 113248 127404 138021 169872 184028 254808 276042 339744 368056 414063 509616 552084 736112 828126 1019232 1104168 1472224 1656252 2208336 3312504 4416672 6625008 13250016