[go: up one dir, main page]

Search a number
-
+
13075860 = 22357163191
BaseRepresentation
bin110001111000…
…010110010100
3220121022201010
4301320112110
511321411420
61144132220
7216100020
oct61702624
926538633
1013075860
1174210a6
124467070
13292a8c5
141a45380
1512344e0
hexc78594

13075860 has 96 divisors (see below), whose sum is σ = 42319872. Its totient is φ = 2954880.

The previous prime is 13075849. The next prime is 13075861. The reversal of 13075860 is 6857031.

It is a super-2 number, since 2×130758602 = 341956229479200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13075861) 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, 68365 + ... + 68555.

It is an arithmetic number, because the mean of its divisors is an integer number (440832).

Almost surely, 213075860 is an apocalyptic number.

13075860 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 13075860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21159936).

13075860 is an abundant number, since it is smaller than the sum of its proper divisors (29244012).

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

13075860 is a wasteful number, since it uses less digits than its factorization.

13075860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 13075860 is about 3616.0558624004. The cubic root of 13075860 is about 235.5899467540.

The spelling of 13075860 in words is "thirteen million, seventy-five thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 163 191 210 326 382 420 489 573 652 764 815 955 978 1141 1146 1337 1630 1910 1956 2282 2292 2445 2674 2865 3260 3423 3820 4011 4564 4890 5348 5705 5730 6685 6846 8022 9780 11410 11460 13370 13692 16044 17115 20055 22820 26740 31133 34230 40110 62266 68460 80220 93399 124532 155665 186798 217931 311330 373596 435862 466995 622660 653793 871724 933990 1089655 1307586 1867980 2179310 2615172 3268965 4358620 6537930 13075860