Search a number
-
+
10406505134 = 2311671005071
BaseRepresentation
bin10011011000100011…
…01010101010101110
3222212020200020100002
421230101222222232
5132303031131014
64440343304302
7515611556054
oct115421525256
928766606302
1010406505134
114460223373
12202514b092
13c9ac9895c
1470a13c1d4
1540d908dde
hex26c46aaae

10406505134 has 16 divisors (see below), whose sum is σ = 16209801216. Its totient is φ = 5005248600.

The previous prime is 10406505133. The next prime is 10406505169. The reversal of 10406505134 is 43150560401.

It is a happy number.

10406505134 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10406505097 and 10406505106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10406505133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 492182 + ... + 512889.

It is an arithmetic number, because the mean of its divisors is an integer number (1013112576).

Almost surely, 210406505134 is an apocalyptic number.

10406505134 is a deficient number, since it is larger than the sum of its proper divisors (5803296082).

10406505134 is a wasteful number, since it uses less digits than its factorization.

10406505134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005271.

The product of its (nonzero) digits is 7200, while the sum is 29.

The spelling of 10406505134 in words is "ten billion, four hundred six million, five hundred five thousand, one hundred thirty-four".

Divisors: 1 2 31 62 167 334 5177 10354 1005071 2010142 31157201 62314402 167846857 335693714 5203252567 10406505134