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13318820 = 2251743911
BaseRepresentation
bin110010110011…
…101010100100
3221001122222122
4302303222210
511402200240
61153245112
7221131244
oct62635244
927048878
1013318820
117577699
124563798
1329b4378
141aa9b24
1512814b5
hexcb3aa4

13318820 has 48 divisors (see below), whose sum is σ = 30336768. Its totient is φ = 4892160.

The previous prime is 13318807. The next prime is 13318843. The reversal of 13318820 is 2881331.

13318820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13318820.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14165 + ... + 15075.

It is an arithmetic number, because the mean of its divisors is an integer number (632016).

Almost surely, 213318820 is an apocalyptic number.

13318820 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 13318820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15168384).

13318820 is an abundant number, since it is smaller than the sum of its proper divisors (17017948).

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

13318820 is a wasteful number, since it uses less digits than its factorization.

13318820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 13318820 is about 3649.4958555943. The cubic root of 13318820 is about 237.0401517663.

The spelling of 13318820 in words is "thirteen million, three hundred eighteen thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 43 68 85 86 170 172 215 340 430 731 860 911 1462 1822 2924 3644 3655 4555 7310 9110 14620 15487 18220 30974 39173 61948 77435 78346 154870 156692 195865 309740 391730 665941 783460 1331882 2663764 3329705 6659410 13318820