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13298208 = 2537211257
BaseRepresentation
bin110010101110…
…101000100000
3221000121201020
4302232220200
511401020313
61153005440
7221014200
oct62565040
927017636
1013298208
117563160
124553880
1329a7b81
141aa2400
15127a323
hexcaea20

13298208 has 144 divisors (see below), whose sum is σ = 44470944. Its totient is φ = 3440640.

The previous prime is 13298189. The next prime is 13298221. The reversal of 13298208 is 80289231.

It is a super-2 number, since 2×132982082 = 353684672022528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51616 + ... + 51872.

It is an arithmetic number, because the mean of its divisors is an integer number (308826).

Almost surely, 213298208 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 13298208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22235472).

13298208 is an abundant number, since it is smaller than the sum of its proper divisors (31172736).

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

13298208 is a wasteful number, since it uses less digits than its factorization.

13298208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 13298208 is about 3646.6708104791. The cubic root of 13298208 is about 236.9178087407.

The spelling of 13298208 in words is "thirteen million, two hundred ninety-eight thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 49 56 66 77 84 88 96 98 112 132 147 154 168 176 196 224 231 257 264 294 308 336 352 392 462 514 528 539 588 616 672 771 784 924 1028 1056 1078 1176 1232 1542 1568 1617 1799 1848 2056 2156 2352 2464 2827 3084 3234 3598 3696 4112 4312 4704 5397 5654 6168 6468 7196 7392 8224 8481 8624 10794 11308 12336 12593 12936 14392 16962 17248 19789 21588 22616 24672 25186 25872 28784 33924 37779 39578 43176 45232 50372 51744 57568 59367 67848 75558 79156 86352 90464 100744 118734 135696 138523 151116 158312 172704 201488 237468 271392 277046 302232 316624 402976 415569 474936 554092 604464 633248 831138 949872 1108184 1208928 1662276 1899744 2216368 3324552 4432736 6649104 13298208