Search a number
-
+
18014424 = 2331767659
BaseRepresentation
bin100010010111…
…0000011011000
31020220020010220
41010232003120
514102430144
61442040040
7306056121
oct104560330
936806126
1018014424
11a19455a
126049020
13396972c
14256d048
1518ac919
hex112e0d8

18014424 has 64 divisors (see below), whose sum is σ = 48470400. Its totient is φ = 5558784.

The previous prime is 18014417. The next prime is 18014471. The reversal of 18014424 is 42441081.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 18014394 and 18014403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27007 + ... + 27665.

It is an arithmetic number, because the mean of its divisors is an integer number (757350).

Almost surely, 218014424 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 18014424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24235200).

18014424 is an abundant number, since it is smaller than the sum of its proper divisors (30455976).

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

18014424 is a wasteful number, since it uses less digits than its factorization.

18014424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 18014424 is about 4244.3402314141. The cubic root of 18014424 is about 262.1441236452.

The spelling of 18014424 in words is "eighteen million, fourteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 67 68 102 134 136 201 204 268 402 408 536 659 804 1139 1318 1608 1977 2278 2636 3417 3954 4556 5272 6834 7908 9112 11203 13668 15816 22406 27336 33609 44153 44812 67218 88306 89624 132459 134436 176612 264918 268872 353224 529836 750601 1059672 1501202 2251803 3002404 4503606 6004808 9007212 18014424