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420847780 = 225412571997
BaseRepresentation
bin11001000101011…
…010000010100100
31002022220021121211
4121011122002210
51330214112110
6105432121204
713300101313
oct3105320244
91068807554
10420847780
111a6615191
12b8b36204
1369260872
143dc7027a
1526e3098a
hex1915a0a4

420847780 has 48 divisors (see below), whose sum is σ = 909313776. Its totient is φ = 163512320.

The previous prime is 420847771. The next prime is 420847781. The reversal of 420847780 is 87748024.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 45805824 + 375041956 = 6768^2 + 19366^2 .

It is a super-2 number, since 2×4208477802 = 354225707861856800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (420847781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 209742 + ... + 211738.

It is an arithmetic number, because the mean of its divisors is an integer number (18944037).

Almost surely, 2420847780 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 420847780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454656888).

420847780 is an abundant number, since it is smaller than the sum of its proper divisors (488465996).

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

420847780 is a wasteful number, since it uses less digits than its factorization.

420847780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2304 (or 2302 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 40.

The square root of 420847780 is about 20514.5748188940. The cubic root of 420847780 is about 749.3907823094.

The spelling of 420847780 in words is "four hundred twenty million, eight hundred forty-seven thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 20 41 82 164 205 257 410 514 820 1028 1285 1997 2570 3994 5140 7988 9985 10537 19970 21074 39940 42148 52685 81877 105370 163754 210740 327508 409385 513229 818770 1026458 1637540 2052916 2566145 5132290 10264580 21042389 42084778 84169556 105211945 210423890 420847780