Search a number
-
+
13674180 = 22351347373
BaseRepresentation
bin110100001010…
…011011000100
3221201201110010
4310022123010
512000033210
61205030220
7224141262
oct64123304
927651403
1013674180
11779a683
1246b5370
132aaa040
141b5d432
151301920
hexd0a6c4

13674180 has 96 divisors (see below), whose sum is σ = 42223104. Its totient is φ = 3285504.

The previous prime is 13674163. The next prime is 13674181. The reversal of 13674180 is 8147631.

It is a happy number.

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 (13674181) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36474 + ... + 36846.

It is an arithmetic number, because the mean of its divisors is an integer number (439824).

Almost surely, 213674180 is an apocalyptic number.

13674180 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 13674180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21111552).

13674180 is an abundant number, since it is smaller than the sum of its proper divisors (28548924).

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

13674180 is a wasteful number, since it uses less digits than its factorization.

13674180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 13674180 is about 3697.8615441901. The cubic root of 13674180 is about 239.1298349775.

The spelling of 13674180 in words is "thirteen million, six hundred seventy-four thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 47 52 60 65 78 94 130 141 156 188 195 235 260 282 373 390 470 564 611 705 746 780 940 1119 1222 1410 1492 1833 1865 2238 2444 2820 3055 3666 3730 4476 4849 5595 6110 7332 7460 9165 9698 11190 12220 14547 17531 18330 19396 22380 24245 29094 35062 36660 48490 52593 58188 70124 72735 87655 96980 105186 145470 175310 210372 227903 262965 290940 350620 455806 525930 683709 911612 1051860 1139515 1367418 2279030 2734836 3418545 4558060 6837090 13674180