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420129 = 3246681
BaseRepresentation
bin1100110100100100001
3210100022100
41212210201
5101421004
613001013
73366603
oct1464441
9710270
10420129
11267716
12183169
131192c8
14ad173
1584739
hex66921

420129 has 6 divisors (see below), whose sum is σ = 606866. Its totient is φ = 280080.

The previous prime is 420103. The next prime is 420149. The reversal of 420129 is 921024.

It can be written as a sum of positive squares in only one way, i.e., 419904 + 225 = 648^2 + 15^2 .

It is not a de Polignac number, because 420129 - 25 = 420097 is a prime.

It is an Ulam number.

It is a Duffinian number.

420129 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (420149) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23332 + ... + 23349.

2420129 is an apocalyptic number.

It is an amenable number.

420129 is a deficient number, since it is larger than the sum of its proper divisors (186737).

420129 is a wasteful number, since it uses less digits than its factorization.

420129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46687 (or 46684 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 420129 is about 648.1735878605. The cubic root of 420129 is about 74.8963902662.

The spelling of 420129 in words is "four hundred twenty thousand, one hundred twenty-nine".

Divisors: 1 3 9 46681 140043 420129