Search a number
-
+
13675260 = 22351132017
BaseRepresentation
bin110100001010…
…101011111100
3221201202221010
4310022223330
512000102020
61205035220
7224144364
oct64125374
927652833
1013675260
1177a0475
1246b5b10
132aaa691
141b5d9a4
151301de0
hexd0aafc

13675260 has 48 divisors (see below), whose sum is σ = 38648736. Its totient is φ = 3612672.

The previous prime is 13675253. The next prime is 13675267. The reversal of 13675260 is 6257631.

It is an interprime number because it is at equal distance from previous prime (13675253) and next prime (13675267).

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 (13675267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5772 + ... + 7788.

It is an arithmetic number, because the mean of its divisors is an integer number (805182).

Almost surely, 213675260 is an apocalyptic number.

13675260 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 13675260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19324368).

13675260 is an abundant number, since it is smaller than the sum of its proper divisors (24973476).

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

13675260 is a wasteful number, since it uses less digits than its factorization.

13675260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2142 (or 2140 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 13675260 is about 3698.0075716526. The cubic root of 13675260 is about 239.1361303806.

The spelling of 13675260 in words is "thirteen million, six hundred seventy-five thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 113 226 339 452 565 678 1130 1356 1695 2017 2260 3390 4034 6051 6780 8068 10085 12102 20170 24204 30255 40340 60510 121020 227921 455842 683763 911684 1139605 1367526 2279210 2735052 3418815 4558420 6837630 13675260