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420107484 = 223411396143
BaseRepresentation
bin11001000010100…
…101010011011100
31002021111200010110
4121002211103130
51330021414414
6105404210020
713260566106
oct3102452334
91067450113
10420107484
111a6159a75
12b8839910
1369061914
143db1a576
1526d36459
hex190a54dc

420107484 has 48 divisors (see below), whose sum is σ = 1011548160. Its totient is φ = 135615360.

The previous prime is 420107483. The next prime is 420107503. The reversal of 420107484 is 484701024.

It is a super-2 number, since 2×4201074842 = 352980596225620512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420107483) 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 15 ways as a sum of consecutive naturals, for example, 65317 + ... + 71459.

It is an arithmetic number, because the mean of its divisors is an integer number (21073920).

Almost surely, 2420107484 is an apocalyptic number.

It is an amenable number.

420107484 is an abundant number, since it is smaller than the sum of its proper divisors (591440676).

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

420107484 is a wasteful number, since it uses less digits than its factorization.

420107484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6330 (or 6328 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The square root of 420107484 is about 20496.5237052530. The cubic root of 420107484 is about 748.9511169206.

It can be divided in two parts, 42010 and 7484, that added together give a palindrome (49494).

The spelling of 420107484 in words is "four hundred twenty million, one hundred seven thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 12 41 82 123 139 164 246 278 417 492 556 834 1668 5699 6143 11398 12286 17097 18429 22796 24572 34194 36858 68388 73716 251863 503726 755589 853877 1007452 1511178 1707754 2561631 3022356 3415508 5123262 10246524 35008957 70017914 105026871 140035828 210053742 420107484