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164310524 = 22721097691
BaseRepresentation
bin10011100101100…
…10110111111100
3102110011211122222
421302302313330
5314030414044
624145424512
74033421300
oct1162626774
9373154588
10164310524
1184826a24
124703b138
132806c781
1417b71d00
15e6598ee
hex9cb2dfc

164310524 has 36 divisors (see below), whose sum is σ = 337601880. Its totient is φ = 69763680.

The previous prime is 164310521. The next prime is 164310527. The reversal of 164310524 is 425013461.

It is an interprime number because it is at equal distance from previous prime (164310521) and next prime (164310527).

It is a junction number, because it is equal to n+sod(n) for n = 164310493 and 164310502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164310521) 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 11 ways as a sum of consecutive naturals, for example, 17519 + ... + 25209.

It is an arithmetic number, because the mean of its divisors is an integer number (9377830).

Almost surely, 2164310524 is an apocalyptic number.

164310524 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164310524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168800940).

164310524 is an abundant number, since it is smaller than the sum of its proper divisors (173291356).

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

164310524 is a wasteful number, since it uses less digits than its factorization.

164310524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7818 (or 7809 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 164310524 is about 12818.3666666233. The cubic root of 164310524 is about 547.7156204711.

Adding to 164310524 its reverse (425013461), we get a palindrome (589323985).

It can be divided in two parts, 1643 and 10524, that added together give a cube (12167 = 233).

The spelling of 164310524 in words is "one hundred sixty-four million, three hundred ten thousand, five hundred twenty-four".

Divisors: 1 2 4 7 14 28 49 98 109 196 218 436 763 1526 3052 5341 7691 10682 15382 21364 30764 53837 107674 215348 376859 753718 838319 1507436 1676638 3353276 5868233 11736466 23472932 41077631 82155262 164310524