Search a number
-
+
13087368 = 23327231129
BaseRepresentation
bin110001111011…
…001010001000
3220121220111100
4301323022020
511322243433
61144301400
7216145410
oct61731210
926556440
1013087368
117429808
124471860
132932c08
141a49640
151237b13
hexc7b288

13087368 has 96 divisors (see below), whose sum is σ = 42307200. Its totient is φ = 3573504.

The previous prime is 13087339. The next prime is 13087369. The reversal of 13087368 is 86378031.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13087369) 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, 11028 + ... + 12156.

It is an arithmetic number, because the mean of its divisors is an integer number (440700).

Almost surely, 213087368 is an apocalyptic number.

13087368 is a gapful number since it is divisible by the number (18) 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 13087368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21153600).

13087368 is an abundant number, since it is smaller than the sum of its proper divisors (29219832).

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

13087368 is a wasteful number, since it uses less digits than its factorization.

13087368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1171 (or 1164 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 13087368 is about 3617.6467489239. The cubic root of 13087368 is about 235.6590403390.

The spelling of 13087368 in words is "thirteen million, eighty-seven thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 23 24 28 36 42 46 56 63 69 72 84 92 126 138 161 168 184 207 252 276 322 414 483 504 552 644 828 966 1129 1288 1449 1656 1932 2258 2898 3387 3864 4516 5796 6774 7903 9032 10161 11592 13548 15806 20322 23709 25967 27096 31612 40644 47418 51934 63224 71127 77901 81288 94836 103868 142254 155802 181769 189672 207736 233703 284508 311604 363538 467406 545307 569016 623208 727076 934812 1090614 1454152 1635921 1869624 2181228 3271842 4362456 6543684 13087368