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13340240 = 245172577
BaseRepresentation
bin110010111000…
…111001010000
3221002202100222
4302320321100
511403341430
61153532212
7221250554
oct62707120
927082328
1013340240
1175917a1
124574068
1329c1044
141ab3864
1512879e5
hexcb8e50

13340240 has 60 divisors (see below), whose sum is σ = 33004956. Its totient is φ = 5013504.

The previous prime is 13340233. The next prime is 13340269. The reversal of 13340240 is 4204331.

It can be written as a sum of positive squares in 6 ways, for example, as 3952144 + 9388096 = 1988^2 + 3064^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 22832 + ... + 23408.

Almost surely, 213340240 is an apocalyptic number.

13340240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13340240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16502478).

13340240 is an abundant number, since it is smaller than the sum of its proper divisors (19664716).

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

13340240 is a wasteful number, since it uses less digits than its factorization.

13340240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 13340240 is about 3652.4293285429. The cubic root of 13340240 is about 237.1671570258.

Adding to 13340240 its reverse (4204331), we get a palindrome (17544571).

The spelling of 13340240 in words is "thirteen million, three hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 289 340 577 578 680 1154 1156 1360 1445 2308 2312 2885 2890 4616 4624 5770 5780 9232 9809 11540 11560 19618 23080 23120 39236 46160 49045 78472 98090 156944 166753 196180 333506 392360 667012 784720 833765 1334024 1667530 2668048 3335060 6670120 13340240