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13208328 = 2332773359
BaseRepresentation
bin110010011000…
…101100001000
3220212001102100
4302120230020
511340131303
61151033400
7220161150
oct62305410
926761370
1013208328
117501681
12450b860
132975ca3
141a7b760
15125d8a3
hexc98b08

13208328 has 96 divisors (see below), whose sum is σ = 41558400. Its totient is φ = 3711744.

The previous prime is 13208309. The next prime is 13208329. The reversal of 13208328 is 82380231.

It is not an unprimeable number, because it can be changed into a prime (13208329) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36613 + ... + 36971.

It is an arithmetic number, because the mean of its divisors is an integer number (432900).

Almost surely, 213208328 is an apocalyptic number.

13208328 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 13208328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20779200).

13208328 is an abundant number, since it is smaller than the sum of its proper divisors (28350072).

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

13208328 is a wasteful number, since it uses less digits than its factorization.

13208328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 13208328 is about 3634.3263474817. The cubic root of 13208328 is about 236.3828412224.

Adding to 13208328 its reverse (82380231), we get a palindrome (95588559).

The spelling of 13208328 in words is "thirteen million, two hundred eight thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 73 84 126 146 168 219 252 292 359 438 504 511 584 657 718 876 1022 1077 1314 1436 1533 1752 2044 2154 2513 2628 2872 3066 3231 4088 4308 4599 5026 5256 6132 6462 7539 8616 9198 10052 12264 12924 15078 18396 20104 22617 25848 26207 30156 36792 45234 52414 60312 78621 90468 104828 157242 180936 183449 209656 235863 314484 366898 471726 550347 628968 733796 943452 1100694 1467592 1651041 1886904 2201388 3302082 4402776 6604164 13208328