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420541220 = 225115336067
BaseRepresentation
bin11001000100001…
…111001100100100
31002022022201002202
4121010033030210
51330124304340
6105421354032
713264353461
oct3104171444
91068281082
10420541220
111a6425930
12b8a08918
1369184178
143dbd0668
1526dbec15
hex1910f324

420541220 has 48 divisors (see below), whose sum is σ = 981626688. Its totient is φ = 150034560.

The previous prime is 420541211. The next prime is 420541241. The reversal of 420541220 is 22145024.

It is a happy number.

420541220 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 420541192 and 420541201.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6374 + ... + 29693.

It is an arithmetic number, because the mean of its divisors is an integer number (20450556).

Almost surely, 2420541220 is an apocalyptic number.

It is an amenable number.

420541220 is an abundant number, since it is smaller than the sum of its proper divisors (561085468).

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

420541220 is a wasteful number, since it uses less digits than its factorization.

420541220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36140 (or 36138 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 420541220 is about 20507.1016967294. The cubic root of 420541220 is about 749.2087774345.

Adding to 420541220 its reverse (22145024), we get a palindrome (442686244).

The spelling of 420541220 in words is "four hundred twenty million, five hundred forty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 53 55 106 110 212 220 265 530 583 1060 1166 2332 2915 5830 11660 36067 72134 144268 180335 360670 396737 721340 793474 1586948 1911551 1983685 3823102 3967370 7646204 7934740 9557755 19115510 21027061 38231020 42054122 84108244 105135305 210270610 420541220