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13208508 = 2235107127
BaseRepresentation
bin110010011000…
…101110111100
3220212001200000
4302120232330
511340133013
61151034300
7220161525
oct62305674
926761600
1013208508
117501825
12450b990
1329760b1
141a7b84c
15125d973
hexc98bbc

13208508 has 72 divisors (see below), whose sum is σ = 35223552. Its totient is φ = 4327344.

The previous prime is 13208483. The next prime is 13208557. The reversal of 13208508 is 80580231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 23 ways as a sum of consecutive naturals, for example, 103941 + ... + 104067.

It is an arithmetic number, because the mean of its divisors is an integer number (489216).

Almost surely, 213208508 is an apocalyptic number.

13208508 is a gapful number since it is divisible by the number (18) 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 13208508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17611776).

13208508 is an abundant number, since it is smaller than the sum of its proper divisors (22015044).

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

13208508 is a wasteful number, since it uses less digits than its factorization.

13208508 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 13208508 is about 3634.3511112714. The cubic root of 13208508 is about 236.3839150075.

Adding to 13208508 its reverse (80580231), we get a palindrome (93788739).

The spelling of 13208508 in words is "thirteen million, two hundred eight thousand, five hundred eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 107 108 127 162 214 243 254 321 324 381 428 486 508 642 762 963 972 1143 1284 1524 1926 2286 2889 3429 3852 4572 5778 6858 8667 10287 11556 13589 13716 17334 20574 26001 27178 30861 34668 40767 41148 52002 54356 61722 81534 104004 122301 123444 163068 244602 366903 489204 733806 1100709 1467612 2201418 3302127 4402836 6604254 13208508