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420141020 = 225138319469
BaseRepresentation
bin11001000010101…
…101011111011100
31002021120101010112
4121002231133130
51330024003040
6105405025152
713261065635
oct3102553734
91067511115
10420141020
111a6182192
12b88551b8
1369073c70
143db2888c
1526d41365
hex190ad7dc

420141020 has 48 divisors (see below), whose sum is σ = 961662240. Its totient is φ = 153252096.

The previous prime is 420141013. The next prime is 420141049. The reversal of 420141020 is 20141024.

It is a junction number, because it is equal to n+sod(n) for n = 420140986 and 420141004.

It is a congruent number.

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, 11846 + ... + 31314.

It is an arithmetic number, because the mean of its divisors is an integer number (20034630).

Almost surely, 2420141020 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 420141020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480831120).

420141020 is an abundant number, since it is smaller than the sum of its proper divisors (541521220).

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

420141020 is a wasteful number, since it uses less digits than its factorization.

420141020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19574 (or 19572 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 420141020 is about 20497.3417788746. The cubic root of 420141020 is about 748.9710452781.

Adding to 420141020 its reverse (20141024), we get a palindrome (440282044).

It can be divided in two parts, 42014 and 1020, that added together give a palindrome (43034).

The spelling of 420141020 in words is "four hundred twenty million, one hundred forty-one thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 83 130 166 260 332 415 830 1079 1660 2158 4316 5395 10790 19469 21580 38938 77876 97345 194690 253097 389380 506194 1012388 1265485 1615927 2530970 3231854 5061940 6463708 8079635 16159270 21007051 32318540 42014102 84028204 105035255 210070510 420141020