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420302925 = 34527149199
BaseRepresentation
bin11001000011010…
…101000001001101
31002021212121020000
4121003111001031
51330044143200
6105412314513
713262341650
oct3103250115
91067777200
10420302925
111a6282899
12b8912a39
13690cc873
143db6b897
1526d74300
hex190d504d

420302925 has 120 divisors (see below), whose sum is σ = 900240000. Its totient is φ = 189889920.

The previous prime is 420302921. The next prime is 420302983. The reversal of 420302925 is 529203024.

It is not a de Polignac number, because 420302925 - 22 = 420302921 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420302921) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2111976 + ... + 2112174.

It is an arithmetic number, because the mean of its divisors is an integer number (7502000).

Almost surely, 2420302925 is an apocalyptic number.

420302925 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

420302925 is an abundant number, since it is smaller than the sum of its proper divisors (479937075).

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

420302925 is a wasteful number, since it uses less digits than its factorization.

420302925 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 420302925 is about 20501.2908130196. The cubic root of 420302925 is about 749.0672404270.

Adding to 420302925 its reverse (529203024), we get a palindrome (949505949).

The spelling of 420302925 in words is "four hundred twenty million, three hundred two thousand, nine hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 81 105 135 149 175 189 199 225 315 405 447 525 567 597 675 745 945 995 1043 1341 1393 1575 1791 2025 2235 2835 2985 3129 3725 4023 4179 4725 4975 5215 5373 6705 6965 8955 9387 11175 12069 12537 14175 14925 15645 16119 20115 20895 26075 26865 28161 29651 33525 34825 37611 44775 46935 60345 62685 78225 80595 84483 88953 100575 104475 112833 134325 140805 148255 188055 207557 234675 266859 301725 313425 402975 422415 444765 564165 622671 704025 741275 800577 940275 1037785 1334295 1868013 2112075 2223825 2401731 2820825 3113355 4002885 5188925 5604039 6671475 9340065 12008655 15566775 16812117 20014425 28020195 46700325 60043275 84060585 140100975 420302925