Search a number
-
+
17998420 = 22511233557
BaseRepresentation
bin100010010101…
…0001001010100
31020212102012011
41010222021110
514101422140
61441434004
7305661346
oct104521124
936772164
1017998420
11a183530
12603b904
13396236b
142567296
1518a7cea
hex112a254

17998420 has 48 divisors (see below), whose sum is σ = 43037568. Its totient is φ = 6258560.

The previous prime is 17998417. The next prime is 17998433. The reversal of 17998420 is 2489971.

17998420 = T275 + T276 + ... + T504.

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, 3282 + ... + 6838.

It is an arithmetic number, because the mean of its divisors is an integer number (896616).

Almost surely, 217998420 is an apocalyptic number.

17998420 is a gapful number since it is divisible by the number (10) 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 17998420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21518784).

17998420 is an abundant number, since it is smaller than the sum of its proper divisors (25039148).

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

17998420 is a wasteful number, since it uses less digits than its factorization.

17998420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3600 (or 3598 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 40.

The square root of 17998420 is about 4242.4544782472. The cubic root of 17998420 is about 262.0664711013.

The spelling of 17998420 in words is "seventeen million, nine hundred ninety-eight thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 220 230 253 460 506 1012 1265 2530 3557 5060 7114 14228 17785 35570 39127 71140 78254 81811 156508 163622 195635 327244 391270 409055 782540 818110 899921 1636220 1799842 3599684 4499605 8999210 17998420