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13324520 = 2351122753
BaseRepresentation
bin110010110101…
…000011101000
3221001221210202
4302311003220
511402341040
61153331332
7221153666
oct62650350
927057722
1013324520
117580a00
124566b48
1329b6b41
141aabc36
151283015
hexcb50e8

13324520 has 48 divisors (see below), whose sum is σ = 32965380. Its totient is φ = 4843520.

The previous prime is 13324469. The next prime is 13324523. The reversal of 13324520 is 2542331.

13324520 = 2702 + 2712 + ... + 3902.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 12859396 + 465124 = 3586^2 + 682^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 13324492 and 13324501.

It is not an unprimeable number, because it can be changed into a prime (13324523) by changing a digit.

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, 3464 + ... + 6216.

Almost surely, 213324520 is an apocalyptic number.

13324520 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 13324520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16482690).

13324520 is an abundant number, since it is smaller than the sum of its proper divisors (19640860).

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

13324520 is a wasteful number, since it uses less digits than its factorization.

13324520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2786 (or 2771 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 13324520 is about 3650.2767018406. The cubic root of 13324520 is about 237.0739619729.

Adding to 13324520 its reverse (2542331), we get a palindrome (15866851).

The spelling of 13324520 in words is "thirteen million, three hundred twenty-four thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1210 2420 2753 4840 5506 11012 13765 22024 27530 30283 55060 60566 110120 121132 151415 242264 302830 333113 605660 666226 1211320 1332452 1665565 2664904 3331130 6662260 13324520