Search a number
-
+
421718420 = 225311674073
BaseRepresentation
bin11001001000101…
…110100110010100
31002101112111220202
4121020232212110
51330424442140
6105502520032
713310355524
oct3110564624
91071474822
10421718420
111a705a322
12b9296018
13694a6c36
1440019684
1527053915
hex1922e994

421718420 has 48 divisors (see below), whose sum is σ = 919876608. Its totient is φ = 162228480.

The previous prime is 421718419. The next prime is 421718431. The reversal of 421718420 is 24817124.

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 15 ways as a sum of consecutive naturals, for example, 101504 + ... + 105576.

It is an arithmetic number, because the mean of its divisors is an integer number (19164096).

Almost surely, 2421718420 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 421718420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459938304).

421718420 is an abundant number, since it is smaller than the sum of its proper divisors (498158188).

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

421718420 is a wasteful number, since it uses less digits than its factorization.

421718420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4280 (or 4278 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The square root of 421718420 is about 20535.7838905653. The cubic root of 421718420 is about 749.9072003700.

The spelling of 421718420 in words is "four hundred twenty-one million, seven hundred eighteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 167 310 334 620 668 835 1670 3340 4073 5177 8146 10354 16292 20365 20708 25885 40730 51770 81460 103540 126263 252526 505052 631315 680191 1262630 1360382 2525260 2720764 3400955 6801910 13603820 21085921 42171842 84343684 105429605 210859210 421718420