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18830480 = 245415741
BaseRepresentation
bin100011111010…
…1010010010000
31022102200120012
41013311102100
514310033410
61511334052
7316025234
oct107652220
938380505
1018830480
11a6a1689
126381328
133b93cc6
1427025c4
1519be605
hex11f5490

18830480 has 40 divisors (see below), whose sum is σ = 44856504. Its totient is φ = 7347200.

The previous prime is 18830477. The next prime is 18830507. The reversal of 18830480 is 8403881.

It can be written as a sum of positive squares in 4 ways, for example, as 29584 + 18800896 = 172^2 + 4336^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 410 + ... + 6150.

Almost surely, 218830480 is an apocalyptic number.

18830480 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 18830480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22428252).

18830480 is an abundant number, since it is smaller than the sum of its proper divisors (26026024).

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

18830480 is a wasteful number, since it uses less digits than its factorization.

18830480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5795 (or 5789 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 18830480 is about 4339.4100981585. The cubic root of 18830480 is about 266.0442009198.

The spelling of 18830480 in words is "eighteen million, eight hundred thirty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1640 3280 5741 11482 22964 28705 45928 57410 91856 114820 229640 235381 459280 470762 941524 1176905 1883048 2353810 3766096 4707620 9415240 18830480