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13316520 = 2335783191
BaseRepresentation
bin110010110011…
…000110101000
3221001112211110
4302303012220
511402112040
61153230320
7221121450
oct62630650
927045743
1013316520
117575998
1245623a0
1329b32c9
141aa8d60
151280980
hexcb31a8

13316520 has 128 divisors (see below), whose sum is σ = 46448640. Its totient is φ = 2991360.

The previous prime is 13316509. The next prime is 13316521. The reversal of 13316520 is 2561331.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (13316521) 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 31 ways as a sum of consecutive naturals, for example, 69625 + ... + 69815.

It is an arithmetic number, because the mean of its divisors is an integer number (362880).

Almost surely, 213316520 is an apocalyptic number.

13316520 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 13316520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23224320).

13316520 is an abundant number, since it is smaller than the sum of its proper divisors (33132120).

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

13316520 is a wasteful number, since it uses less digits than its factorization.

13316520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 13316520 is about 3649.1807299721. The cubic root of 13316520 is about 237.0265063199.

Adding to 13316520 its reverse (2561331), we get a palindrome (15877851).

It can be divided in two parts, 133 and 16520, that added together give a triangular number (16653 = T182).

The spelling of 13316520 in words is "thirteen million, three hundred sixteen thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 83 84 105 120 140 166 168 191 210 249 280 332 382 415 420 498 573 581 664 764 830 840 955 996 1146 1162 1245 1337 1528 1660 1743 1910 1992 2292 2324 2490 2674 2865 2905 3320 3486 3820 4011 4584 4648 4980 5348 5730 5810 6685 6972 7640 8022 8715 9960 10696 11460 11620 13370 13944 15853 16044 17430 20055 22920 23240 26740 31706 32088 34860 40110 47559 53480 63412 69720 79265 80220 95118 110971 126824 158530 160440 190236 221942 237795 317060 332913 380472 443884 475590 554855 634120 665826 887768 951180 1109710 1331652 1664565 1902360 2219420 2663304 3329130 4438840 6658260 13316520