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13190268 = 22371347257
BaseRepresentation
bin110010010100…
…010001111100
3220211010122110
4302110101330
511334042033
61150414020
7220054410
oct62242174
926733573
1013190268
11749a053
124501310
13296a9c0
141a74d40
151258363
hexc9447c

13190268 has 96 divisors (see below), whose sum is σ = 38836224. Its totient is φ = 3391488.

The previous prime is 13190267. The next prime is 13190279. The reversal of 13190268 is 86209131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13190263) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 51196 + ... + 51452.

It is an arithmetic number, because the mean of its divisors is an integer number (404544).

Almost surely, 213190268 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 13190268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19418112).

13190268 is an abundant number, since it is smaller than the sum of its proper divisors (25645956).

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

13190268 is a wasteful number, since it uses less digits than its factorization.

13190268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 13190268 is about 3631.8408555442. The cubic root of 13190268 is about 236.2750551519.

Adding to 13190268 its reverse (86209131), we get a palindrome (99399399).

The spelling of 13190268 in words is "thirteen million, one hundred ninety thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 47 52 78 84 91 94 141 156 182 188 257 273 282 329 364 514 546 564 611 658 771 987 1028 1092 1222 1316 1542 1799 1833 1974 2444 3084 3341 3598 3666 3948 4277 5397 6682 7196 7332 8554 10023 10794 12079 12831 13364 17108 20046 21588 23387 24158 25662 36237 40092 46774 48316 51324 70161 72474 84553 93548 140322 144948 157027 169106 253659 280644 314054 338212 471081 507318 628108 942162 1014636 1099189 1884324 2198378 3297567 4396756 6595134 13190268