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162030132 = 22341124133
BaseRepresentation
bin10011010100001…
…10001000110100
3102021212222120000
421222012020310
5312434431012
624024511300
74005143025
oct1152061064
9367788500
10162030132
1183509700
124631b530
1327751824
141773ac4c
15e358ddc
hex9a86234

162030132 has 90 divisors (see below), whose sum is σ = 465699234. Its totient is φ = 49088160.

The previous prime is 162030109. The next prime is 162030137. The reversal of 162030132 is 231030261.

162030132 is a `hidden beast` number, since 1 + 620 + 30 + 13 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 150700176 + 11329956 = 12276^2 + 3366^2 .

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162030137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 37138 + ... + 41270.

Almost surely, 2162030132 is an apocalyptic number.

162030132 is a gapful number since it is divisible by the number (12) 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 162030132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232849617).

162030132 is an abundant number, since it is smaller than the sum of its proper divisors (303669102).

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

162030132 is a wasteful number, since it uses less digits than its factorization.

162030132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4171 (or 4149 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 162030132 is about 12729.1057030728. The cubic root of 162030132 is about 545.1699741974.

Adding to 162030132 its reverse (231030261), we get a palindrome (393060393).

The spelling of 162030132 in words is "one hundred sixty-two million, thirty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 121 132 162 198 242 297 324 363 396 484 594 726 891 1089 1188 1452 1782 2178 3267 3564 4133 4356 6534 8266 9801 12399 13068 16532 19602 24798 37197 39204 45463 49596 74394 90926 111591 136389 148788 181852 223182 272778 334773 409167 446364 500093 545556 669546 818334 1000186 1227501 1339092 1500279 1636668 2000372 2455002 3000558 3682503 4500837 4910004 6001116 7365006 9001674 13502511 14730012 18003348 27005022 40507533 54010044 81015066 162030132