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406923121 = 11212892609
BaseRepresentation
bin11000010000010…
…010011101110001
31001100200211120201
4120100102131301
51313133014441
6104213435201
713040534533
oct3020223561
91040624521
10406923121
11199774400
12b433bb01
13663c6817
143c087853
1525acec31
hex18412771

406923121 has 12 divisors (see below), whose sum is σ = 447797700. Its totient is φ = 369501440.

The previous prime is 406923109. The next prime is 406923149. The reversal of 406923121 is 121329604.

It can be written as a sum of positive squares in 2 ways, for example, as 266832225 + 140090896 = 16335^2 + 11836^2 .

It is not a de Polignac number, because 406923121 - 25 = 406923089 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 406923121.

It is not an unprimeable number, because it can be changed into a prime (406923821) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 154665 + ... + 157273.

It is an arithmetic number, because the mean of its divisors is an integer number (37316475).

Almost surely, 2406923121 is an apocalyptic number.

It is an amenable number.

406923121 is a deficient number, since it is larger than the sum of its proper divisors (40874579).

406923121 is a wasteful number, since it uses less digits than its factorization.

406923121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3920 (or 3909 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 406923121 is about 20172.3355365709. The cubic root of 406923121 is about 741.0328413005.

It can be divided in two parts, 406923 and 121, that added together give a square (407044 = 6382).

The spelling of 406923121 in words is "four hundred six million, nine hundred twenty-three thousand, one hundred twenty-one".

Divisors: 1 11 121 1289 2609 14179 28699 155969 315689 3363001 36993011 406923121