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130406529 = 31147831013
BaseRepresentation
bin1111100010111…
…01100010000001
3100002101100010110
413301131202001
5231341002104
620535021533
73142302651
oct761354201
9302340113
10130406529
116767a3a0
123780a8a9
132102b836
1413468361
15b6ade89
hex7c5d881

130406529 has 32 divisors (see below), whose sum is σ = 196245504. Its totient is φ = 76345280.

The previous prime is 130406503. The next prime is 130406561. The reversal of 130406529 is 925604031.

It is not a de Polignac number, because 130406529 - 28 = 130406273 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 130406496 and 130406505.

It is not an unprimeable number, because it can be changed into a prime (130406629) 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 31 ways as a sum of consecutive naturals, for example, 128227 + ... + 129239.

It is an arithmetic number, because the mean of its divisors is an integer number (6132672).

Almost surely, 2130406529 is an apocalyptic number.

It is an amenable number.

130406529 is a deficient number, since it is larger than the sum of its proper divisors (65838975).

130406529 is a wasteful number, since it uses less digits than its factorization.

130406529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157.

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 130406529 is about 11419.5678114366. The cubic root of 130406529 is about 507.1072020238.

The spelling of 130406529 in words is "one hundred thirty million, four hundred six thousand, five hundred twenty-nine".

Divisors: 1 3 11 33 47 83 141 249 517 913 1013 1551 2739 3039 3901 11143 11703 33429 42911 47611 84079 128733 142833 252237 523721 924869 1571163 2774607 3951713 11855139 43468843 130406529