Search a number
-
+
514463000 = 23531927077
BaseRepresentation
bin11110101010100…
…001010100011000
31022212001102120012
4132222201110120
52023200304000
6123014421052
715514602062
oct3652412430
91285042505
10514463000
11244445737
12124361788
138277a19c
144c47c732
1530273735
hex1eaa1518

514463000 has 64 divisors (see below), whose sum is σ = 1267250400. Its totient is φ = 194947200.

The previous prime is 514462973. The next prime is 514463017. The reversal of 514463000 is 364415.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5462 + ... + 32538.

Almost surely, 2514463000 is an apocalyptic number.

514463000 is a gapful number since it is divisible by the number (50) 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 514463000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633625200).

514463000 is an abundant number, since it is smaller than the sum of its proper divisors (752787400).

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

514463000 is a wasteful number, since it uses less digits than its factorization.

514463000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27117 (or 27103 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 514463000 is about 22681.7768263423. The cubic root of 514463000 is about 801.2807609700.

The spelling of 514463000 in words is "five hundred fourteen million, four hundred sixty-three thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 125 152 190 200 250 380 475 500 760 950 1000 1900 2375 3800 4750 9500 19000 27077 54154 108308 135385 216616 270770 514463 541540 676925 1028926 1083080 1353850 2057852 2572315 2707700 3384625 4115704 5144630 5415400 6769250 10289260 12861575 13538500 20578520 25723150 27077000 51446300 64307875 102892600 128615750 257231500 514463000