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8906131 = 132151349
BaseRepresentation
bin100001111110…
…010110010011
3121202110220201
4201332112103
54234444011
6514520031
7135462253
oct41762623
917673821
108906131
115033343
122b96017
131acaa00
14127b963
15badcc1
hex87e593

8906131 has 12 divisors (see below), whose sum is σ = 9735600. Its totient is φ = 8143200.

The previous prime is 8906123. The next prime is 8906137. The reversal of 8906131 is 1316098.

It is a happy number.

It is not a de Polignac number, because 8906131 - 23 = 8906123 is a prime.

It is a super-2 number, since 2×89061312 = 158638338778322, which contains 22 as substring.

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 8906131.

It is not an unprimeable number, because it can be changed into a prime (8906137) 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 11 ways as a sum of consecutive naturals, for example, 25345 + ... + 25693.

It is an arithmetic number, because the mean of its divisors is an integer number (811300).

Almost surely, 28906131 is an apocalyptic number.

8906131 is a deficient number, since it is larger than the sum of its proper divisors (829469).

8906131 is a wasteful number, since it uses less digits than its factorization.

8906131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 8906131 is about 2984.3141590657. The cubic root of 8906131 is about 207.2826853422.

It can be divided in two parts, 890 and 6131, that added together give a triangular number (7021 = T118).

The spelling of 8906131 in words is "eight million, nine hundred six thousand, one hundred thirty-one".

Divisors: 1 13 151 169 349 1963 4537 25519 52699 58981 685087 8906131