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13345290 = 2335723307
BaseRepresentation
bin110010111010…
…001000001010
3221010000022000
4302322020022
511404022130
61154011430
7221301360
oct62721012
927100260
1013345290
117595572
124576b76
1329c342a
141ab5630
151289260
hexcba20a

13345290 has 128 divisors (see below), whose sum is σ = 42577920. Its totient is φ = 2908224.

The previous prime is 13345253. The next prime is 13345301. The reversal of 13345290 is 9254331.

13345290 = T324 + T325 + ... + T484.

13345290 is a `hidden beast` number, since 133 + 4 + 529 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43317 + ... + 43623.

It is an arithmetic number, because the mean of its divisors is an integer number (332640).

Almost surely, 213345290 is an apocalyptic number.

13345290 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 13345290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21288960).

13345290 is an abundant number, since it is smaller than the sum of its proper divisors (29232630).

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

13345290 is a wasteful number, since it uses less digits than its factorization.

13345290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 13345290 is about 3653.1205838297. The cubic root of 13345290 is about 237.1970801017.

The spelling of 13345290 in words is "thirteen million, three hundred forty-five thousand, two hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 23 27 30 35 42 45 46 54 63 69 70 90 105 115 126 135 138 161 189 207 210 230 270 307 315 322 345 378 414 483 614 621 630 690 805 921 945 966 1035 1242 1449 1535 1610 1842 1890 2070 2149 2415 2763 2898 3070 3105 4298 4347 4605 4830 5526 6210 6447 7061 7245 8289 8694 9210 10745 12894 13815 14122 14490 16578 19341 21183 21490 21735 27630 32235 35305 38682 41445 42366 43470 49427 58023 63549 64470 70610 82890 96705 98854 105915 116046 127098 148281 190647 193410 211830 247135 290115 296562 317745 381294 444843 494270 580230 635490 741405 889686 953235 1334529 1482810 1906470 2224215 2669058 4448430 6672645 13345290