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132606205 = 5172163563
BaseRepresentation
bin1111110011101…
…10100011111101
3100020112002111221
413321312203331
5232421344310
621054113341
73200064004
oct771664375
9306462457
10132606205
1168942006
12384ab851
132161bb14
141387bc3b
15b995ada
hex7e768fd

132606205 has 24 divisors (see below), whose sum is σ = 170377632. Its totient is φ = 99055872.

The previous prime is 132606197. The next prime is 132606209. The reversal of 132606205 is 502606231.

It is not a de Polignac number, because 132606205 - 23 = 132606197 is a prime.

It is a super-3 number, since 3×1326062053 (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 132606205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132606209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 235254 + ... + 235816.

It is an arithmetic number, because the mean of its divisors is an integer number (7099068).

Almost surely, 2132606205 is an apocalyptic number.

It is an amenable number.

132606205 is a deficient number, since it is larger than the sum of its proper divisors (37771427).

132606205 is a wasteful number, since it uses less digits than its factorization.

132606205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 132606205 is about 11515.4767595615. The cubic root of 132606205 is about 509.9425861294.

The spelling of 132606205 in words is "one hundred thirty-two million, six hundred six thousand, two hundred five".

Divisors: 1 5 17 85 163 289 563 815 1445 2771 2815 9571 13855 47107 47855 91769 162707 235535 458845 813535 1560073 7800365 26521241 132606205