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13438890 = 23251929271
BaseRepresentation
bin110011010000…
…111110101010
3221021202200200
4303100332222
511420021030
61200013030
7222141303
oct63207652
927252620
1013438890
117649923
124601176
132a26c0a
141adb7aa
1512a6d60
hexcd0faa

13438890 has 96 divisors (see below), whose sum is σ = 38188800. Its totient is φ = 3265920.

The previous prime is 13438889. The next prime is 13438913. The reversal of 13438890 is 9883431.

13438890 = T356 + T357 + ... + T500.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49455 + ... + 49725.

It is an arithmetic number, because the mean of its divisors is an integer number (397800).

Almost surely, 213438890 is an apocalyptic number.

13438890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13438890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19094400).

13438890 is an abundant number, since it is smaller than the sum of its proper divisors (24749910).

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

13438890 is a wasteful number, since it uses less digits than its factorization.

13438890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 13438890 is about 3665.9091641774. The cubic root of 13438890 is about 237.7503325401.

The spelling of 13438890 in words is "thirteen million, four hundred thirty-eight thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 19 29 30 38 45 57 58 87 90 95 114 145 171 174 190 261 271 285 290 342 435 522 542 551 570 813 855 870 1102 1305 1355 1626 1653 1710 2439 2610 2710 2755 3306 4065 4878 4959 5149 5510 7859 8130 8265 9918 10298 12195 15447 15718 16530 23577 24390 24795 25745 30894 39295 46341 47154 49590 51490 70731 77235 78590 92682 117885 141462 149321 154470 231705 235770 298642 353655 447963 463410 707310 746605 895926 1343889 1493210 2239815 2687778 4479630 6719445 13438890