Search a number
-
+
18068480 = 21053529
BaseRepresentation
bin100010011101…
…1010000000000
31020222222021222
41010323100000
514111142410
61443134212
7306402533
oct104732000
936888258
1018068480
11a221131
126074368
133988211
142584a1a
1518bd955
hex113b400

18068480 has 44 divisors (see below), whose sum is σ = 43355460. Its totient is φ = 7225344.

The previous prime is 18068473. The next prime is 18068483. The reversal of 18068480 is 8486081.

It can be written as a sum of positive squares in 2 ways, for example, as 3810304 + 14258176 = 1952^2 + 3776^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 18068480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18068483) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3356 + ... + 6884.

Almost surely, 218068480 is an apocalyptic number.

18068480 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 18068480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21677730).

18068480 is an abundant number, since it is smaller than the sum of its proper divisors (25286980).

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

18068480 is an equidigital number, since it uses as much as digits as its factorization.

18068480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3554 (or 3536 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 35.

The square root of 18068480 is about 4250.7034711916. The cubic root of 18068480 is about 262.4060676765.

The spelling of 18068480 in words is "eighteen million, sixty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2560 3529 5120 7058 14116 17645 28232 35290 56464 70580 112928 141160 225856 282320 451712 564640 903424 1129280 1806848 2258560 3613696 4517120 9034240 18068480