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420632530 = 251729412081
BaseRepresentation
bin11001000100100…
…101011111010010
31002022111100100121
4121010211133102
51330140220110
6105423340454
713265213623
oct3104453722
91068440317
10420632530
111a648849a
12b8a5172a
13691b68b6
143dc15a4a
1526ddbcda
hex191257d2

420632530 has 64 divisors (see below), whose sum is σ = 849955680. Its totient is φ = 149094400.

The previous prime is 420632519. The next prime is 420632551. The reversal of 420632530 is 35236024.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 8014561 + 412617969 = 2831^2 + 20313^2 .

It is a junction number, because it is equal to n+sod(n) for n = 420632495 and 420632504.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 201090 + ... + 203170.

Almost surely, 2420632530 is an apocalyptic number.

420632530 is an abundant number, since it is smaller than the sum of its proper divisors (429323150).

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

420632530 is a wasteful number, since it uses less digits than its factorization.

420632530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2175.

The product of its (nonzero) digits is 4320, while the sum is 25.

The square root of 420632530 is about 20509.3278778218. The cubic root of 420632530 is about 749.2629974884.

Adding to 420632530 its reverse (35236024), we get a palindrome (455868554).

The spelling of 420632530 in words is "four hundred twenty million, six hundred thirty-two thousand, five hundred thirty".

Divisors: 1 2 5 10 17 29 34 41 58 82 85 145 170 205 290 410 493 697 986 1189 1394 2081 2378 2465 3485 4162 4930 5945 6970 10405 11890 20213 20810 35377 40426 60349 70754 85321 101065 120698 170642 176885 202130 301745 353770 426605 603490 853210 1025933 1450457 2051866 2474309 2900914 4948618 5129665 7252285 10259330 12371545 14504570 24743090 42063253 84126506 210316265 420632530