Search a number
-
+
14305928 = 2371343457
BaseRepresentation
bin110110100100…
…101010001000
3222220211001012
4312210222020
512130242203
61230343052
7232412150
oct66445210
928824035
1014305928
11809128a
12495aa88
132c6b760
141c85760
1513c8bd8
hexda4a88

14305928 has 64 divisors (see below), whose sum is σ = 33855360. Its totient is φ = 5515776.

The previous prime is 14305927. The next prime is 14305957. The reversal of 14305928 is 82950341.

It is a junction number, because it is equal to n+sod(n) for n = 14305894 and 14305903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14305927) 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, 31076 + ... + 31532.

It is an arithmetic number, because the mean of its divisors is an integer number (528990).

Almost surely, 214305928 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 14305928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16927680).

14305928 is an abundant number, since it is smaller than the sum of its proper divisors (19549432).

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

14305928 is a wasteful number, since it uses less digits than its factorization.

14305928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 14305928 is about 3782.3178079056. The cubic root of 14305928 is about 242.7571396471.

The spelling of 14305928 in words is "fourteen million, three hundred five thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 26 28 43 52 56 86 91 104 172 182 301 344 364 457 559 602 728 914 1118 1204 1828 2236 2408 3199 3656 3913 4472 5941 6398 7826 11882 12796 15652 19651 23764 25592 31304 39302 41587 47528 78604 83174 137557 157208 166348 255463 275114 332696 510926 550228 1021852 1100456 1788241 2043704 3576482 7152964 14305928