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13663320 = 2335112941
BaseRepresentation
bin110100000111…
…110001011000
3221201011112220
4310013301120
511444211240
61204504040
7224064516
oct64076130
927634486
1013663320
117792500
1246ab020
132aa5108
141b594b6
1512ed5d0
hexd07c58

13663320 has 96 divisors (see below), whose sum is σ = 45102960. Its totient is φ = 3308800.

The previous prime is 13663319. The next prime is 13663327. The reversal of 13663320 is 2336631.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13663327) 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 23 ways as a sum of consecutive naturals, for example, 14050 + ... + 14990.

Almost surely, 213663320 is an apocalyptic number.

13663320 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 13663320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22551480).

13663320 is an abundant number, since it is smaller than the sum of its proper divisors (31439640).

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

13663320 is a wasteful number, since it uses less digits than its factorization.

13663320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

The square root of 13663320 is about 3696.3928362662. The cubic root of 13663320 is about 239.0665127696.

Adding to 13663320 its reverse (2336631), we get a palindrome (15999951).

The spelling of 13663320 in words is "thirteen million, six hundred sixty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 121 132 165 220 242 264 330 363 440 484 605 660 726 941 968 1210 1320 1452 1815 1882 2420 2823 2904 3630 3764 4705 4840 5646 7260 7528 9410 10351 11292 14115 14520 18820 20702 22584 28230 31053 37640 41404 51755 56460 62106 82808 103510 112920 113861 124212 155265 207020 227722 248424 310530 341583 414040 455444 569305 621060 683166 910888 1138610 1242120 1366332 1707915 2277220 2732664 3415830 4554440 6831660 13663320