Search a number
-
+
1998024 = 233721699
BaseRepresentation
bin111100111110011001000
310202111202220
413213303020
51002414044
6110454040
722661100
oct7476310
93674686
101998024
111145166
12804320
1354c582
143a0200
15297019
hex1e7cc8

1998024 has 48 divisors (see below), whose sum is σ = 5814000. Its totient is φ = 570528.

The previous prime is 1998023. The next prime is 1998041. The reversal of 1998024 is 4208991.

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (1998023) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 327 + ... + 2025.

It is an arithmetic number, because the mean of its divisors is an integer number (121125).

21998024 is an apocalyptic number.

1998024 is a gapful number since it is divisible by the number (14) 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 1998024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2907000).

1998024 is an abundant number, since it is smaller than the sum of its proper divisors (3815976).

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

1998024 is a wasteful number, since it uses less digits than its factorization.

1998024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1722 (or 1711 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 1998024 is about 1413.5147682285. The cubic root of 1998024 is about 125.9505979169.

Subtracting from 1998024 its sum of digits (33), we obtain a palindrome (1997991).

The spelling of 1998024 in words is "one million, nine hundred ninety-eight thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 1176 1699 3398 5097 6796 10194 11893 13592 20388 23786 35679 40776 47572 71358 83251 95144 142716 166502 249753 285432 333004 499506 666008 999012 1998024