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858000132 = 22321117233547
BaseRepresentation
bin110011001001000…
…000101100000100
32012210110220220200
4303021000230010
53224122001012
6221045530500
730155611053
oct6311005404
92183426820
10858000132
11400356220
121bb413a30
131089ac7b2
1481d4639a
15504d23dc
hex33240b04

858000132 has 144 divisors (see below), whose sum is σ = 2520528192. Its totient is φ = 243210240.

The previous prime is 858000131. The next prime is 858000137. The reversal of 858000132 is 231000858.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 858000096 and 858000105.

It is not an unprimeable number, because it can be changed into a prime (858000131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1568283 + ... + 1568829.

It is an arithmetic number, because the mean of its divisors is an integer number (17503668).

Almost surely, 2858000132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 858000132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1260264096).

858000132 is an abundant number, since it is smaller than the sum of its proper divisors (1662528060).

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

858000132 is a wasteful number, since it uses less digits than its factorization.

858000132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 858000132 is about 29291.6392849564. The cubic root of 858000132 is about 950.2308329192.

The spelling of 858000132 in words is "eight hundred fifty-eight million, one hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 132 153 187 198 204 233 306 374 396 466 547 561 612 699 748 932 1094 1122 1398 1641 1683 2097 2188 2244 2563 2796 3282 3366 3961 4194 4923 5126 6017 6564 6732 7689 7922 8388 9299 9846 10252 11883 12034 15378 15844 18051 18598 19692 23067 23766 24068 27897 30756 35649 36102 37196 43571 46134 47532 54153 55794 71298 72204 83691 87142 92268 102289 108306 111588 127451 130713 142596 167382 174284 204578 216612 254902 261426 306867 334764 382353 392139 409156 509804 522852 613734 764706 784278 920601 1147059 1227468 1401961 1529412 1568556 1841202 2166667 2294118 2803922 3682404 4205883 4333334 4588236 5607844 6500001 8411766 8666668 12617649 13000002 16823532 19500003 23833337 25235298 26000004 39000006 47666674 50470596 71500011 78000012 95333348 143000022 214500033 286000044 429000066 858000132