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420132300 = 223527200063
BaseRepresentation
bin11001000010101…
…011010111001100
31002021112221011120
4121002223113030
51330023213200
6105404520540
713261031340
oct3102532714
91067487146
10420132300
111a6176685
12b8850150
136906ccc3
143db25620
1526d3d9a0
hex190ab5cc

420132300 has 72 divisors (see below), whose sum is σ = 1389244416. Its totient is φ = 96029760.

The previous prime is 420132269. The next prime is 420132341. The reversal of 420132300 is 3231024.

It is a super-2 number, since 2×4201323002 = 353022299006580000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 420132300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97932 + ... + 102131.

Almost surely, 2420132300 is an apocalyptic number.

It is an amenable number.

420132300 is an abundant number, since it is smaller than the sum of its proper divisors (969112116).

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

420132300 is a wasteful number, since it uses less digits than its factorization.

420132300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200087 (or 200080 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 420132300 is about 20497.1290672621. The cubic root of 420132300 is about 748.9658636269.

Adding to 420132300 its reverse (3231024), we get a palindrome (423363324).

The spelling of 420132300 in words is "four hundred twenty million, one hundred thirty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 200063 400126 600189 800252 1000315 1200378 1400441 2000630 2400756 2800882 3000945 4001260 4201323 5001575 5601764 6001890 7002205 8402646 10003150 12003780 14004410 15004725 16805292 20006300 21006615 28008820 30009450 35011025 42013230 60018900 70022050 84026460 105033075 140044100 210066150 420132300