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420503265 = 33571322633
BaseRepresentation
bin11001000100000…
…101111011100001
31002022020210001000
4121010011323201
51330122101030
6105420502213
713264135020
oct3104057341
91068223030
10420503265
111a63aa366
12b89aa969
136916cb00
143dbc08b7
1526db3860
hex19105ee1

420503265 has 96 divisors (see below), whose sum is σ = 925482240. Its totient is φ = 177375744.

The previous prime is 420503263. The next prime is 420503267. The reversal of 420503265 is 562305024.

It is an interprime number because it is at equal distance from previous prime (420503263) and next prime (420503267).

It is not a de Polignac number, because 420503265 - 21 = 420503263 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (420503263) 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 95 ways as a sum of consecutive naturals, for example, 158389 + ... + 161021.

It is an arithmetic number, because the mean of its divisors is an integer number (9640440).

Almost surely, 2420503265 is an apocalyptic number.

420503265 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

420503265 is an abundant number, since it is smaller than the sum of its proper divisors (504978975).

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

420503265 is a wasteful number, since it uses less digits than its factorization.

420503265 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2680 (or 2661 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 420503265 is about 20506.1762647257. The cubic root of 420503265 is about 749.1862373732.

Adding to 420503265 its reverse (562305024), we get a palindrome (982808289).

The spelling of 420503265 in words is "four hundred twenty million, five hundred three thousand, two hundred sixty-five".

Divisors: 1 3 5 7 9 13 15 21 27 35 39 45 63 65 91 105 117 135 169 189 195 273 315 351 455 507 585 819 845 945 1183 1365 1521 1755 2457 2535 2633 3549 4095 4563 5915 7605 7899 10647 12285 13165 17745 18431 22815 23697 31941 34229 39495 53235 55293 71091 92155 102687 118485 159705 165879 171145 239603 276465 308061 355455 444977 497637 513435 718809 829395 924183 1198015 1334931 1540305 2156427 2224885 2488185 3114839 3594045 4004793 4620915 6469281 6674655 9344517 10782135 12014379 15574195 20023965 28033551 32346405 46722585 60071895 84100653 140167755 420503265