Search a number
-
+
14590728 = 2332375477
BaseRepresentation
bin110111101010…
…001100001000
31000110021201100
4313222030020
512213400403
61240421400
7235006365
oct67521410
930407640
1014590728
118266259
124a77860
13303b289
141d1b46c
1514332a3
hexdea308

14590728 has 48 divisors (see below), whose sum is σ = 40591980. Its totient is φ = 4731264.

The previous prime is 14590721. The next prime is 14590733. The reversal of 14590728 is 82709541.

It can be written as a sum of positive squares in 2 ways, for example, as 9847044 + 4743684 = 3138^2 + 2178^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14590692 and 14590701.

It is not an unprimeable number, because it can be changed into a prime (14590721) 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 11 ways as a sum of consecutive naturals, for example, 75 + ... + 5402.

Almost surely, 214590728 is an apocalyptic number.

14590728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14590728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20295990).

14590728 is an abundant number, since it is smaller than the sum of its proper divisors (26001252).

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

14590728 is a wasteful number, since it uses less digits than its factorization.

14590728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5526 (or 5519 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 14590728 is about 3819.7811455632. The cubic root of 14590728 is about 244.3574890591.

The spelling of 14590728 in words is "fourteen million, five hundred ninety thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 666 888 1332 2664 5477 10954 16431 21908 32862 43816 49293 65724 98586 131448 197172 202649 394344 405298 607947 810596 1215894 1621192 1823841 2431788 3647682 4863576 7295364 14590728