Search a number
-
+
13087320 = 2335191571
BaseRepresentation
bin110001111011…
…001001011000
3220121220102120
4301323021120
511322243240
61144301240
7216145311
oct61731130
926556376
1013087320
117429774
124471820
132932b9c
141a49608
151237ad0
hexc7b258

13087320 has 64 divisors (see below), whose sum is σ = 39536640. Its totient is φ = 3465600.

The previous prime is 13087313. The next prime is 13087339. The reversal of 13087320 is 2378031.

13087320 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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, 22635 + ... + 23205.

It is an arithmetic number, because the mean of its divisors is an integer number (617760).

Almost surely, 213087320 is an apocalyptic number.

13087320 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 13087320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19768320).

13087320 is an abundant number, since it is smaller than the sum of its proper divisors (26449320).

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

13087320 is a wasteful number, since it uses less digits than its factorization.

13087320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 13087320 is about 3617.6401147710. The cubic root of 13087320 is about 235.6587522330.

The spelling of 13087320 in words is "thirteen million, eighty-seven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 191 382 571 573 764 955 1142 1146 1528 1713 1910 2284 2292 2855 2865 3426 3820 4568 4584 5710 5730 6852 7640 8565 11420 11460 13704 17130 22840 22920 34260 68520 109061 218122 327183 436244 545305 654366 872488 1090610 1308732 1635915 2181220 2617464 3271830 4362440 6543660 13087320