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14730500 = 2253171733
BaseRepresentation
bin111000001100…
…010100000100
31000201101110002
4320030110010
512232334000
61243420432
7236131031
oct70142404
930641402
1014730500
118351274
124b24718
133089a95
141d56388
15145e8d5
hexe0c504

14730500 has 48 divisors (see below), whose sum is σ = 34083504. Its totient is φ = 5542400.

The previous prime is 14730461. The next prime is 14730509. The reversal of 14730500 is 503741.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3211264 + 11519236 = 1792^2 + 3394^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (14730509) 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, 7634 + ... + 9366.

It is an arithmetic number, because the mean of its divisors is an integer number (710073).

Almost surely, 214730500 is an apocalyptic number.

14730500 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 14730500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17041752).

14730500 is an abundant number, since it is smaller than the sum of its proper divisors (19353004).

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

14730500 is a wasteful number, since it uses less digits than its factorization.

14730500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1769 (or 1757 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 14730500 is about 3838.0333505586. The cubic root of 14730500 is about 245.1352855500.

The spelling of 14730500 in words is "fourteen million, seven hundred thirty thousand, five hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 125 170 250 340 425 500 850 1700 1733 2125 3466 4250 6932 8500 8665 17330 29461 34660 43325 58922 86650 117844 147305 173300 216625 294610 433250 589220 736525 866500 1473050 2946100 3682625 7365250 14730500