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18830500 = 2253132897
BaseRepresentation
bin100011111010…
…1010010100100
31022102200120221
41013311102210
514310034000
61511334124
7316025263
oct107652244
938380527
1018830500
11a6a16a7
126381344
133b94010
1427025da
1519be61a
hex11f54a4

18830500 has 48 divisors (see below), whose sum is σ = 44304624. Its totient is φ = 6950400.

The previous prime is 18830477. The next prime is 18830507. The reversal of 18830500 is 503881.

It can be written as a sum of positive squares in 8 ways, for example, as 13704804 + 5125696 = 3702^2 + 2264^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (18830507) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5052 + ... + 7948.

It is an arithmetic number, because the mean of its divisors is an integer number (923013).

Almost surely, 218830500 is an apocalyptic number.

18830500 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 18830500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22152312).

18830500 is an abundant number, since it is smaller than the sum of its proper divisors (25474124).

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

18830500 is a wasteful number, since it uses less digits than its factorization.

18830500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2929 (or 2917 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 18830500 is about 4339.4124026186. The cubic root of 18830500 is about 266.0442951090.

The spelling of 18830500 in words is "eighteen million, eight hundred thirty thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 125 130 250 260 325 500 650 1300 1625 2897 3250 5794 6500 11588 14485 28970 37661 57940 72425 75322 144850 150644 188305 289700 362125 376610 724250 753220 941525 1448500 1883050 3766100 4707625 9415250 18830500