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420011440 = 2455250143
BaseRepresentation
bin11001000010001…
…101110110110000
31002021022210101021
4121002031312300
51330010331230
6105402145224
713260016102
oct3102156660
91067283337
10420011440
111a60a38a2
12b87b2214
1369029ca4
143dad3572
1526d17c7a
hex1908ddb0

420011440 has 20 divisors (see below), whose sum is σ = 976526784. Its totient is φ = 168004544.

The previous prime is 420011407. The next prime is 420011447. The reversal of 420011440 is 44110024.

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (420011447) 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 3 ways as a sum of consecutive naturals, for example, 2624992 + ... + 2625151.

Almost surely, 2420011440 is an apocalyptic number.

420011440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420011440 is an abundant number, since it is smaller than the sum of its proper divisors (556515344).

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

420011440 is a wasteful number, since it uses less digits than its factorization.

420011440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5250156 (or 5250150 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 420011440 is about 20494.1806374395. The cubic root of 420011440 is about 748.8940380808.

Adding to 420011440 its reverse (44110024), we get a palindrome (464121464).

The spelling of 420011440 in words is "four hundred twenty million, eleven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 5250143 10500286 21000572 26250715 42001144 52501430 84002288 105002860 210005720 420011440