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13300240 = 245312173
BaseRepresentation
bin110010101111…
…001000010000
3221000201111111
4302233020100
511401101430
61153023104
7221023132
oct62571020
927021444
1013300240
117564738
124554a94
1329a8a85
141aa3052
15127ac2a
hexcaf210

13300240 has 60 divisors (see below), whose sum is σ = 32137452. Its totient is φ = 5118720.

The previous prime is 13300223. The next prime is 13300253. The reversal of 13300240 is 4200331.

It can be written as a sum of positive squares in 2 ways, for example, as 8856576 + 4443664 = 2976^2 + 2108^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 13300240.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76794 + ... + 76966.

Almost surely, 213300240 is an apocalyptic number.

13300240 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 13300240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16068726).

13300240 is an abundant number, since it is smaller than the sum of its proper divisors (18837212).

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

13300240 is a wasteful number, since it uses less digits than its factorization.

13300240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 13300240 is about 3646.9494101235. The cubic root of 13300240 is about 236.9298753406.

Adding to 13300240 its reverse (4200331), we get a palindrome (17500571).

Subtracting from 13300240 its reverse (4200331), we obtain a palindrome (9099909).

The spelling of 13300240 in words is "thirteen million, three hundred thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 173 248 310 346 496 620 692 865 961 1240 1384 1730 1922 2480 2768 3460 3844 4805 5363 6920 7688 9610 10726 13840 15376 19220 21452 26815 38440 42904 53630 76880 85808 107260 166253 214520 332506 429040 665012 831265 1330024 1662530 2660048 3325060 6650120 13300240