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132360606 = 232717611013
BaseRepresentation
bin1111110001110…
…10100110011110
3100020001121121200
413320322212132
5232341014411
621044540330
73165021660
oct770724636
9306047550
10132360606
1168794534
12383b16a6
13215640b1
1413816530
15b947e56
hex7e3a99e

132360606 has 96 divisors (see below), whose sum is σ = 353066688. Its totient is φ = 34974720.

The previous prime is 132360563. The next prime is 132360617. The reversal of 132360606 is 606063231.

It is a self number, because there is not a number n which added to its sum of digits gives 132360606.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 130156 + ... + 131168.

It is an arithmetic number, because the mean of its divisors is an integer number (3677778).

Almost surely, 2132360606 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132360606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176533344).

132360606 is an abundant number, since it is smaller than the sum of its proper divisors (220706082).

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

132360606 is a wasteful number, since it uses less digits than its factorization.

132360606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 132360606 is about 11504.8079514610. The cubic root of 132360606 is about 509.6275712364.

The spelling of 132360606 in words is "one hundred thirty-two million, three hundred sixty thousand, six hundred six".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 61 63 102 119 122 126 153 183 238 306 357 366 427 549 714 854 1013 1037 1071 1098 1281 2026 2074 2142 2562 3039 3111 3843 6078 6222 7091 7259 7686 9117 9333 14182 14518 17221 18234 18666 21273 21777 34442 42546 43554 51663 61793 63819 65331 103326 120547 123586 127638 130662 154989 185379 241094 309978 361641 370758 432551 556137 723282 865102 1050481 1084923 1112274 1297653 2100962 2169846 2595306 3151443 3892959 6302886 7353367 7785918 9454329 14706734 18908658 22060101 44120202 66180303 132360606