Search a number
-
+
14357728 = 257115827
BaseRepresentation
bin110110110001…
…010011100000
31000000110002201
4312301103200
512133421403
61231422544
7233016160
oct66612340
930013081
1014357728
1181171a0
124984a54
132c891c8
141c9a5a0
1513d921d
hexdb14e0

14357728 has 48 divisors (see below), whose sum is σ = 35247744. Its totient is φ = 5592960.

The previous prime is 14357719. The next prime is 14357729. The reversal of 14357728 is 82775341.

It is a super-2 number, since 2×143577282 = 412288706643968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14357729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 450 + ... + 5377.

It is an arithmetic number, because the mean of its divisors is an integer number (734328).

Almost surely, 214357728 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 14357728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17623872).

14357728 is an abundant number, since it is smaller than the sum of its proper divisors (20890016).

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

14357728 is a wasteful number, since it uses less digits than its factorization.

14357728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5855 (or 5847 counting only the distinct ones).

The product of its digits is 47040, while the sum is 37.

The square root of 14357728 is about 3789.1592735065. The cubic root of 14357728 is about 243.0497846029.

The spelling of 14357728 in words is "fourteen million, three hundred fifty-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 616 1232 2464 5827 11654 23308 40789 46616 64097 81578 93232 128194 163156 186464 256388 326312 448679 512776 652624 897358 1025552 1305248 1794716 2051104 3589432 7178864 14357728