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13294890 = 2325747449
BaseRepresentation
bin110010101101…
…110100101010
3221000110011100
4302231310222
511400414030
61152542230
7221001420
oct62556452
927013140
1013294890
117560714
124551976
1329a64cb
141aa1110
151279360
hexcadd2a

13294890 has 96 divisors (see below), whose sum is σ = 40435200. Its totient is φ = 2967552.

The previous prime is 13294871. The next prime is 13294903. The reversal of 13294890 is 9849231.

13294890 = 2362 + 2372 + ... + 3752.

It is a super-2 number, since 2×132948902 = 353508200224200, which contains 22 as substring.

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, 29386 + ... + 29834.

It is an arithmetic number, because the mean of its divisors is an integer number (421200).

Almost surely, 213294890 is an apocalyptic number.

13294890 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 13294890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20217600).

13294890 is an abundant number, since it is smaller than the sum of its proper divisors (27140310).

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

13294890 is a wasteful number, since it uses less digits than its factorization.

13294890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 13294890 is about 3646.2158466004. The cubic root of 13294890 is about 236.8981028606.

The spelling of 13294890 in words is "thirteen million, two hundred ninety-four thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 47 63 70 90 94 105 126 141 210 235 282 315 329 423 449 470 630 658 705 846 898 987 1347 1410 1645 1974 2115 2245 2694 2961 3143 3290 4041 4230 4490 4935 5922 6286 6735 8082 9429 9870 13470 14805 15715 18858 20205 21103 28287 29610 31430 40410 42206 47145 56574 63309 94290 105515 126618 141435 147721 189927 211030 282870 295442 316545 379854 443163 633090 738605 886326 949635 1329489 1477210 1899270 2215815 2658978 4431630 6647445 13294890