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13200608 = 254767131
BaseRepresentation
bin110010010110…
…110011100000
3220211122211102
4302112303200
511334404413
61150533532
7220126511
oct62266340
926748742
1013200608
1174a68a3
1245072a8
132972615
141a78a08
15125b458
hexc96ce0

13200608 has 48 divisors (see below), whose sum is σ = 27143424. Its totient is φ = 6314880.

The previous prime is 13200587. The next prime is 13200617. The reversal of 13200608 is 80600231.

It is a self number, because there is not a number n which added to its sum of digits gives 13200608.

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 7 ways as a sum of consecutive naturals, for example, 100703 + ... + 100833.

It is an arithmetic number, because the mean of its divisors is an integer number (565488).

Almost surely, 213200608 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 13200608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13571712).

13200608 is an abundant number, since it is smaller than the sum of its proper divisors (13942816).

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

13200608 is a wasteful number, since it uses less digits than its factorization.

13200608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 13200608 is about 3633.2640971997. The cubic root of 13200608 is about 236.3367785872.

Adding to 13200608 its reverse (80600231), we get a palindrome (93800839).

The spelling of 13200608 in words is "thirteen million, two hundred thousand, six hundred eight".

Divisors: 1 2 4 8 16 32 47 67 94 131 134 188 262 268 376 524 536 752 1048 1072 1504 2096 2144 3149 4192 6157 6298 8777 12314 12596 17554 24628 25192 35108 49256 50384 70216 98512 100768 140432 197024 280864 412519 825038 1650076 3300152 6600304 13200608