Search a number
-
+
13774104 = 2333431483
BaseRepresentation
bin110100100010…
…110100011000
3221220210112000
4310202310120
512011232404
61211121000
7225035511
oct64426430
927823460
1013774104
117858763
124743160
132b13676
141b87a08
151321339
hexd22d18

13774104 has 64 divisors (see below), whose sum is σ = 39177600. Its totient is φ = 4481568.

The previous prime is 13774037. The next prime is 13774109. The reversal of 13774104 is 40147731.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13774109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8547 + ... + 10029.

It is an arithmetic number, because the mean of its divisors is an integer number (612150).

Almost surely, 213774104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13774104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19588800).

13774104 is an abundant number, since it is smaller than the sum of its proper divisors (25403496).

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

13774104 is a wasteful number, since it uses less digits than its factorization.

13774104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1541 (or 1531 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 13774104 is about 3711.3480030846. The cubic root of 13774104 is about 239.7109018994.

The spelling of 13774104 in words is "thirteen million, seven hundred seventy-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 43 54 72 86 108 129 172 216 258 344 387 516 774 1032 1161 1483 1548 2322 2966 3096 4449 4644 5932 8898 9288 11864 13347 17796 26694 35592 40041 53388 63769 80082 106776 127538 160164 191307 255076 320328 382614 510152 573921 765228 1147842 1530456 1721763 2295684 3443526 4591368 6887052 13774104