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810162132 = 2231317417451
BaseRepresentation
bin110000010010100…
…001011111010100
32002110110111111220
4300102201133110
53124400142012
6212220330340
726035156503
oct6022413724
92073414456
10810162132
1138635188a
121a73a39b0
13cbb004a0
147985283a
154b1d308c
hex304a17d4

810162132 has 96 divisors (see below), whose sum is σ = 2208415104. Its totient is φ = 228864000.

The previous prime is 810162127. The next prime is 810162137. The reversal of 810162132 is 231261018.

It is an interprime number because it is at equal distance from previous prime (810162127) and next prime (810162137).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (810162137) 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, 105007 + ... + 112457.

It is an arithmetic number, because the mean of its divisors is an integer number (23004324).

Almost surely, 2810162132 is an apocalyptic number.

810162132 is a gapful number since it is divisible by the number (82) 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 810162132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1104207552).

810162132 is an abundant number, since it is smaller than the sum of its proper divisors (1398252972).

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

810162132 is a wasteful number, since it uses less digits than its factorization.

810162132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7529 (or 7527 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 810162132 is about 28463.3471678930. The cubic root of 810162132 is about 932.2319429234.

The spelling of 810162132 in words is "eight hundred ten million, one hundred sixty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 41 51 52 68 78 82 102 123 156 164 204 221 246 442 492 533 663 697 884 1066 1326 1394 1599 2091 2132 2652 2788 3198 4182 6396 7451 8364 9061 14902 18122 22353 27183 29804 36244 44706 54366 89412 96863 108732 126667 193726 253334 290589 305491 380001 387452 506668 581178 610982 760002 916473 1162356 1221964 1520004 1646671 1832946 3293342 3665892 3971383 4940013 5193347 6586684 7942766 9880026 10386694 11914149 15580041 15885532 19760052 20773388 23828298 31160082 47656596 62320164 67513511 135027022 202540533 270054044 405081066 810162132