Search a number
-
+
13680150 = 2352118291
BaseRepresentation
bin110100001011…
…111000010110
3221202000122020
4310023320112
512000231100
61205114010
7224164551
oct64137026
927660566
1013680150
1177a4110
1246b8906
132aac983
141b61698
1513035a0
hexd0be16

13680150 has 48 divisors (see below), whose sum is σ = 37015488. Its totient is φ = 3316000.

The previous prime is 13680113. The next prime is 13680167. The reversal of 13680150 is 5108631.

13680150 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 Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 13680150.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2496 + ... + 5795.

It is an arithmetic number, because the mean of its divisors is an integer number (771156).

Almost surely, 213680150 is an apocalyptic number.

13680150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13680150 is an abundant number, since it is smaller than the sum of its proper divisors (23335338).

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

13680150 is a wasteful number, since it uses less digits than its factorization.

13680150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8317 (or 8312 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 13680150 is about 3698.6686794034. The cubic root of 13680150 is about 239.1646304194.

Adding to 13680150 its reverse (5108631), we get a palindrome (18788781).

The spelling of 13680150 in words is "thirteen million, six hundred eighty thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 150 165 275 330 550 825 1650 8291 16582 24873 41455 49746 82910 91201 124365 182402 207275 248730 273603 414550 456005 547206 621825 912010 1243650 1368015 2280025 2736030 4560050 6840075 13680150