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421205300 = 225219415407
BaseRepresentation
bin11001000110110…
…001010100110100
31002100120110001022
4121012301110310
51330312032200
6105443520312
713303120535
oct3106612464
91070513038
10421205300
111a683985a
12b9089098
1369357509
143dd2468c
1526ea1885
hex191b1534

421205300 has 72 divisors (see below), whose sum is σ = 985770240. Its totient is φ = 155692800.

The previous prime is 421205293. The next prime is 421205303. The reversal of 421205300 is 3502124.

421205300 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421205303) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 75197 + ... + 80603.

Almost surely, 2421205300 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 421205300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492885120).

421205300 is an abundant number, since it is smaller than the sum of its proper divisors (564564940).

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

421205300 is a wasteful number, since it uses less digits than its factorization.

421205300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5481 (or 5474 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 421205300 is about 20523.2867738089. The cubic root of 421205300 is about 749.6029305590.

Adding to 421205300 its reverse (3502124), we get a palindrome (424707424).

The spelling of 421205300 in words is "four hundred twenty-one million, two hundred five thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 38 41 50 76 82 95 100 164 190 205 380 410 475 779 820 950 1025 1558 1900 2050 3116 3895 4100 5407 7790 10814 15580 19475 21628 27035 38950 54070 77900 102733 108140 135175 205466 221687 270350 410932 443374 513665 540700 886748 1027330 1108435 2054660 2216870 2568325 4212053 4433740 5136650 5542175 8424106 10273300 11084350 16848212 21060265 22168700 42120530 84241060 105301325 210602650 421205300