Search a number
-
+
18802340 = 2251723253
BaseRepresentation
bin100011110111…
…0011010100100
31022101020221222
41013232122210
514303133330
61510555512
7315550214
oct107563244
938336858
1018802340
11a682527
126368b98
133b8425b
1426d6244
1519b60e5
hex11ee6a4

18802340 has 36 divisors (see below), whose sum is σ = 41957076. Its totient is φ = 7076352.

The previous prime is 18802331. The next prime is 18802349. The reversal of 18802340 is 4320881.

It is an interprime number because it is at equal distance from previous prime (18802331) and next prime (18802349).

It can be written as a sum of positive squares in 6 ways, for example, as 5683456 + 13118884 = 2384^2 + 3622^2 .

It is not an unprimeable number, because it can be changed into a prime (18802349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4154 + ... + 7406.

Almost surely, 218802340 is an apocalyptic number.

18802340 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 18802340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20978538).

18802340 is an abundant number, since it is smaller than the sum of its proper divisors (23154736).

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

18802340 is a wasteful number, since it uses less digits than its factorization.

18802340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3296 (or 3277 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 18802340 is about 4336.1665097180. The cubic root of 18802340 is about 265.9116106345.

The spelling of 18802340 in words is "eighteen million, eight hundred two thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 289 340 578 1156 1445 2890 3253 5780 6506 13012 16265 32530 55301 65060 110602 221204 276505 553010 940117 1106020 1880234 3760468 4700585 9401170 18802340