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420125300 = 22527619839
BaseRepresentation
bin11001000010101…
…001101001110100
31002021112120120022
4121002221221310
51330023002200
6105404424312
713261002050
oct3102515164
91067476508
10420125300
111a61713a1
12b8848098
1369069a6a
143db22c60
1526d3b885
hex190a9a74

420125300 has 72 divisors (see below), whose sum is σ = 1059098880. Its totient is φ = 141667200.

The previous prime is 420125297. The next prime is 420125323. The reversal of 420125300 is 3521024.

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 23 ways as a sum of consecutive naturals, for example, 37781 + ... + 47619.

Almost surely, 2420125300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420125300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529549440).

420125300 is an abundant number, since it is smaller than the sum of its proper divisors (638973580).

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

420125300 is a wasteful number, since it uses less digits than its factorization.

420125300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9921 (or 9914 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 420125300 is about 20496.9583109299. The cubic root of 420125300 is about 748.9617039926.

Adding to 420125300 its reverse (3521024), we get a palindrome (423646324).

The spelling of 420125300 in words is "four hundred twenty million, one hundred twenty-five thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 61 70 100 122 140 175 244 305 350 427 610 700 854 1220 1525 1708 2135 3050 4270 6100 8540 9839 10675 19678 21350 39356 42700 49195 68873 98390 137746 196780 245975 275492 344365 491950 600179 688730 983900 1200358 1377460 1721825 2400716 3000895 3443650 4201253 6001790 6887300 8402506 12003580 15004475 16805012 21006265 30008950 42012530 60017900 84025060 105031325 210062650 420125300