Search a number
-
+
18428736 = 263531811
BaseRepresentation
bin100011001001…
…1001101000000
31021200021110210
41012103031000
514204204421
61454554120
7312433044
oct106231500
937607423
1018428736
11a447867
126208940
133a831a1
14263a024
151940576
hex1193340

18428736 has 56 divisors (see below), whose sum is σ = 49706784. Its totient is φ = 6023680.

The previous prime is 18428719. The next prime is 18428737. The reversal of 18428736 is 63782481.

It is a junction number, because it is equal to n+sod(n) for n = 18428694 and 18428703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18428737) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9271 + ... + 11081.

Almost surely, 218428736 is an apocalyptic number.

18428736 is a gapful number since it is divisible by the number (16) 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 18428736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24853392).

18428736 is an abundant number, since it is smaller than the sum of its proper divisors (31278048).

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

18428736 is a wasteful number, since it uses less digits than its factorization.

18428736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1879 (or 1869 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 18428736 is about 4292.8703684132. The cubic root of 18428736 is about 264.1385865569.

It can be divided in two parts, 184 and 28736, that added together give a triangular number (28920 = T240).

The spelling of 18428736 in words is "eighteen million, four hundred twenty-eight thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 159 192 212 318 424 636 848 1272 1696 1811 2544 3392 3622 5088 5433 7244 10176 10866 14488 21732 28976 43464 57952 86928 95983 115904 173856 191966 287949 347712 383932 575898 767864 1151796 1535728 2303592 3071456 4607184 6142912 9214368 18428736