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420133005 = 32529437487
BaseRepresentation
bin11001000010101…
…011100010001101
31002021112222010200
4121002223202031
51330023224010
6105404524113
713261033365
oct3102534215
91067488120
10420133005
111a6177166
12b8850639
1369070416
143db259a5
1526d3dcc0
hex190ab88d

420133005 has 48 divisors (see below), whose sum is σ = 770964480. Its totient is φ = 211284864.

The previous prime is 420133001. The next prime is 420133013. The reversal of 420133005 is 500331024.

It is not a de Polignac number, because 420133005 - 22 = 420133001 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420133001) 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 47 ways as a sum of consecutive naturals, for example, 52372 + ... + 59858.

It is an arithmetic number, because the mean of its divisors is an integer number (16061760).

Almost surely, 2420133005 is an apocalyptic number.

420133005 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

420133005 is a deficient number, since it is larger than the sum of its proper divisors (350831475).

420133005 is a wasteful number, since it uses less digits than its factorization.

420133005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7570 (or 7567 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 420133005 is about 20497.1462647853. The cubic root of 420133005 is about 748.9662825589.

Adding to 420133005 its reverse (500331024), we get a palindrome (920464029).

The spelling of 420133005 in words is "four hundred twenty million, one hundred thirty-three thousand, five".

Divisors: 1 3 5 9 15 29 43 45 87 129 145 215 261 387 435 645 1247 1305 1935 3741 6235 7487 11223 18705 22461 37435 56115 67383 112305 217123 321941 336915 651369 965823 1085615 1609705 1954107 2897469 3256845 4829115 9336289 9770535 14487345 28008867 46681445 84026601 140044335 420133005