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428400105 = 3574080001
BaseRepresentation
bin11001100010001…
…101110111101001
31002212002222110120
4121202031313221
51334132300410
6110302033453
713421224620
oct3142156751
91085088416
10428400105
111aa903381
12bb578889
136a9a62b3
1440c786b7
1527923570
hex1988dde9

428400105 has 16 divisors (see below), whose sum is σ = 783360384. Its totient is φ = 195840000.

The previous prime is 428400079. The next prime is 428400107. The reversal of 428400105 is 501004824.

It is not a de Polignac number, because 428400105 - 28 = 428399849 is a prime.

It is a super-2 number, since 2×4284001052 = 367053299928022050, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (428400107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2039896 + ... + 2040105.

It is an arithmetic number, because the mean of its divisors is an integer number (48960024).

Almost surely, 2428400105 is an apocalyptic number.

It is an amenable number.

428400105 is a deficient number, since it is larger than the sum of its proper divisors (354960279).

428400105 is a wasteful number, since it uses less digits than its factorization.

428400105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4080016.

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 428400105 is about 20697.8285092905. The cubic root of 428400105 is about 753.8469629860.

Adding to 428400105 its reverse (501004824), we get a palindrome (929404929).

The spelling of 428400105 in words is "four hundred twenty-eight million, four hundred thousand, one hundred five".

Divisors: 1 3 5 7 15 21 35 105 4080001 12240003 20400005 28560007 61200015 85680021 142800035 428400105