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420531900 = 223522948337
BaseRepresentation
bin11001000100001…
…100111010111100
31002022022020022120
4121010030322330
51330124010100
6105421242540
713264314345
oct3104147274
91068266276
10420531900
111a6419928
12b8a03450
136917cb59
143dbcb0cc
1526dbc0a0
hex1910cebc

420531900 has 72 divisors (see below), whose sum is σ = 1258721520. Its totient is φ = 108272640.

The previous prime is 420531869. The next prime is 420531901. The reversal of 420531900 is 9135024.

It is a super-2 number, since 2×4205319002 = 353694157835220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420531901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15469 + ... + 32868.

Almost surely, 2420531900 is an apocalyptic number.

It is an amenable number.

420531900 is an abundant number, since it is smaller than the sum of its proper divisors (838189620).

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

420531900 is a wasteful number, since it uses less digits than its factorization.

420531900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48383 (or 48376 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 420531900 is about 20506.8744571180. The cubic root of 420531900 is about 749.2032427592.

Adding to 420531900 its reverse (9135024), we get a palindrome (429666924).

The spelling of 420531900 in words is "four hundred twenty million, five hundred thirty-one thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 60 75 87 100 116 145 150 174 290 300 348 435 580 725 870 1450 1740 2175 2900 4350 8700 48337 96674 145011 193348 241685 290022 483370 580044 725055 966740 1208425 1401773 1450110 2416850 2803546 2900220 3625275 4205319 4833700 5607092 7008865 7250550 8410638 14017730 14501100 16821276 21026595 28035460 35044325 42053190 70088650 84106380 105132975 140177300 210265950 420531900