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162000162 = 2341019901
BaseRepresentation
bin10011010011111…
…10110100100010
3102021211110110000
421221332310202
5312433001122
624024120430
74004656452
oct1151766442
9367743400
10162000162
1183499135
1246306116
1327740cac
141772dd62
15e3500ac
hex9a7ed22

162000162 has 40 divisors (see below), whose sum is σ = 366631452. Its totient is φ = 53460000.

The previous prime is 162000133. The next prime is 162000173. The reversal of 162000162 is 261000261.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 112593321 + 49406841 = 10611^2 + 7029^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11412 + ... + 21312.

Almost surely, 2162000162 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 162000162, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183315726).

162000162 is an abundant number, since it is smaller than the sum of its proper divisors (204631290).

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

162000162 is a wasteful number, since it uses less digits than its factorization.

162000162 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10016 (or 10007 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 162000162 is about 12727.9284253173. The cubic root of 162000162 is about 545.1363595616.

162000162 divided by its sum of digits (18) gives a palindrome (9000009).

Subtracting 162000162 from its reverse (261000261), we obtain a palindrome (99000099).

The spelling of 162000162 in words is "one hundred sixty-two million, one hundred sixty-two", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 27 54 81 101 162 202 303 606 909 1818 2727 5454 8181 9901 16362 19802 29703 59406 89109 178218 267327 534654 801981 1000001 1603962 2000002 3000003 6000006 9000009 18000018 27000027 54000054 81000081 162000162