Search a number
-
+
13681408 = 28134111
BaseRepresentation
bin110100001100…
…001100000000
3221202002100211
4310030030000
512000301113
61205123504
7224201326
oct64141400
927662324
1013681408
1177a5054
1246b9594
132ab0410
141b61d16
151303b3d
hexd0c300

13681408 has 36 divisors (see below), whose sum is σ = 29417248. Its totient is φ = 6312960.

The previous prime is 13681399. The next prime is 13681429. The reversal of 13681408 is 80418631.

It is a self number, because there is not a number n which added to its sum of digits gives 13681408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1273 + ... + 5383.

Almost surely, 213681408 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 13681408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14708624).

13681408 is an abundant number, since it is smaller than the sum of its proper divisors (15735840).

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

13681408 is an equidigital number, since it uses as much as digits as its factorization.

13681408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4140 (or 4126 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 13681408 is about 3698.8387366848. The cubic root of 13681408 is about 239.1719612329.

The spelling of 13681408 in words is "thirteen million, six hundred eighty-one thousand, four hundred eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 832 1664 3328 4111 8222 16444 32888 53443 65776 106886 131552 213772 263104 427544 526208 855088 1052416 1710176 3420352 6840704 13681408