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13144208 = 2471147227
BaseRepresentation
bin110010001001…
…000010010000
3220201210110112
4302021002100
511331103313
61145420452
7216503210
oct62110220
926653415
1013144208
117468490
12449a728
132952a4c
141a62240
1512498a8
hexc89090

13144208 has 80 divisors (see below), whose sum is σ = 32569344. Its totient is φ = 4990080.

The previous prime is 13144199. The next prime is 13144211. The reversal of 13144208 is 80244131.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57791 + ... + 58017.

Almost surely, 213144208 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 13144208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16284672).

13144208 is an abundant number, since it is smaller than the sum of its proper divisors (19425136).

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

13144208 is a wasteful number, since it uses less digits than its factorization.

13144208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 13144208 is about 3625.4941732128. The cubic root of 13144208 is about 235.9997127259. Note that the first 3 decimals are identical.

Adding to 13144208 its reverse (80244131), we get a palindrome (93388339).

The spelling of 13144208 in words is "thirteen million, one hundred forty-four thousand, two hundred eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 47 56 77 88 94 112 154 176 188 227 308 329 376 454 517 616 658 752 908 1034 1232 1316 1589 1816 2068 2497 2632 3178 3619 3632 4136 4994 5264 6356 7238 8272 9988 10669 12712 14476 17479 19976 21338 25424 28952 34958 39952 42676 57904 69916 74683 85352 117359 139832 149366 170704 234718 279664 298732 469436 597464 821513 938872 1194928 1643026 1877744 3286052 6572104 13144208