Search a number
-
+
13814768 = 2411531481
BaseRepresentation
bin110100101100…
…101111110000
3221222212022002
4310230233300
512014033033
61212033132
7225265202
oct64545760
927885262
1013814768
117886270
1247627a8
132b29026
141b98772
15132d3e8
hexd2cbf0

13814768 has 40 divisors (see below), whose sum is σ = 29770416. Its totient is φ = 6156800.

The previous prime is 13814753. The next prime is 13814771. The reversal of 13814768 is 86741831.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 8588 + ... + 10068.

Almost surely, 213814768 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 13814768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14885208).

13814768 is an abundant number, since it is smaller than the sum of its proper divisors (15955648).

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

13814768 is a wasteful number, since it uses less digits than its factorization.

13814768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1553 (or 1547 counting only the distinct ones).

The product of its digits is 32256, while the sum is 38.

The square root of 13814768 is about 3716.8222986847. The cubic root of 13814768 is about 239.9465621766.

The spelling of 13814768 in words is "thirteen million, eight hundred fourteen thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 44 53 88 106 176 212 424 583 848 1166 1481 2332 2962 4664 5924 9328 11848 16291 23696 32582 65164 78493 130328 156986 260656 313972 627944 863423 1255888 1726846 3453692 6907384 13814768