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10406106 = 232578117
BaseRepresentation
bin100111101100…
…100011011010
3201120200111100
4213230203122
510130443411
61011012230
7154310334
oct47544332
921520440
1010406106
115968297
12359a076
132204679
14154c454
15da8456
hex9ec8da

10406106 has 12 divisors (see below), whose sum is σ = 22546602. Its totient is φ = 3468696.

The previous prime is 10406093. The next prime is 10406107. The reversal of 10406106 is 60160401.

10406106 is a `hidden beast` number, since 10 + 40 + 610 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9865881 + 540225 = 3141^2 + 735^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 578117 = 10406106 / (1 + 0 + 4 + 0 + 6 + 1 + 0 + 6).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10406107) 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 5 ways as a sum of consecutive naturals, for example, 289041 + ... + 289076.

Almost surely, 210406106 is an apocalyptic number.

10406106 is an abundant number, since it is smaller than the sum of its proper divisors (12140496).

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

10406106 is a wasteful number, since it uses less digits than its factorization.

10406106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578125 (or 578122 counting only the distinct ones).

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

The square root of 10406106 is about 3225.8496555171. The cubic root of 10406106 is about 218.3212864916.

Adding to 10406106 its reverse (60160401), we get a palindrome (70566507).

The spelling of 10406106 in words is "ten million, four hundred six thousand, one hundred six".

Divisors: 1 2 3 6 9 18 578117 1156234 1734351 3468702 5203053 10406106