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420435108 = 223211678753
BaseRepresentation
bin11001000011110…
…101010010100100
31002022010022112200
4121003311102210
51330112410413
6105415214500
713263432222
oct3103652244
91068108480
10420435108
111a6363135
12b8977430
1369147a92
143dba3b12
1526d9d573
hex190f54a4

420435108 has 18 divisors (see below), whose sum is σ = 1062766614. Its totient is φ = 140145024.

The previous prime is 420435049. The next prime is 420435133. The reversal of 420435108 is 801534024.

It can be written as a sum of positive squares in only one way, i.e., 317980224 + 102454884 = 17832^2 + 10122^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-3 number, since 3×4204351083 (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 5839341 + ... + 5839412.

Almost surely, 2420435108 is an apocalyptic number.

It is an amenable number.

420435108 is an abundant number, since it is smaller than the sum of its proper divisors (642331506).

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

420435108 is a wasteful number, since it uses less digits than its factorization.

420435108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11678763 (or 11678758 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 420435108 is about 20504.5143322147. The cubic root of 420435108 is about 749.1457580637.

The spelling of 420435108 in words is "four hundred twenty million, four hundred thirty-five thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 12 18 36 11678753 23357506 35036259 46715012 70072518 105108777 140145036 210217554 420435108