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415130200 = 235210120551
BaseRepresentation
bin11000101111100…
…110001001011000
31001221010210120121
4120233212021120
51322233131300
6105105403024
713200356062
oct3057461130
91057123517
10415130200
111a336a511
12b7039474
136800b294
143d1c2732
15266a181a
hex18be6258

415130200 has 48 divisors (see below), whose sum is σ = 974781360. Its totient is φ = 164400000.

The previous prime is 415130173. The next prime is 415130237. The reversal of 415130200 is 2031514.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9925 + ... + 30475.

It is an arithmetic number, because the mean of its divisors is an integer number (20307945).

Almost surely, 2415130200 is an apocalyptic number.

415130200 is a gapful number since it is divisible by the number (40) 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 415130200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487390680).

415130200 is an abundant number, since it is smaller than the sum of its proper divisors (559651160).

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

415130200 is a wasteful number, since it uses less digits than its factorization.

415130200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20668 (or 20659 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 415130200 is about 20374.7441701730. The cubic root of 415130200 is about 745.9815897725.

Adding to 415130200 its reverse (2031514), we get a palindrome (417161714).

The spelling of 415130200 in words is "four hundred fifteen million, one hundred thirty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 200 202 404 505 808 1010 2020 2525 4040 5050 10100 20200 20551 41102 82204 102755 164408 205510 411020 513775 822040 1027550 2055100 2075651 4110200 4151302 8302604 10378255 16605208 20756510 41513020 51891275 83026040 103782550 207565100 415130200