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132168309 = 37132167223
BaseRepresentation
bin1111110000010…
…11101001110101
3100012200211211120
413320023221311
5232313341214
621040454153
73163261230
oct770135165
9305624746
10132168309
1168673009
123831a359
13214c7700
14137a6417
15b90aea9
hex7e0ba75

132168309 has 48 divisors (see below), whose sum is σ = 220372992. Its totient is φ = 68986944.

The previous prime is 132168301. The next prime is 132168349. The reversal of 132168309 is 903861231.

It is not a de Polignac number, because 132168309 - 23 = 132168301 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 132168309.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132168301) 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, 592572 + ... + 592794.

It is an arithmetic number, because the mean of its divisors is an integer number (4591104).

Almost surely, 2132168309 is an apocalyptic number.

It is an amenable number.

132168309 is a deficient number, since it is larger than the sum of its proper divisors (88204683).

132168309 is a wasteful number, since it uses less digits than its factorization.

132168309 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 132168309 is about 11496.4476687366. The cubic root of 132168309 is about 509.3806514685.

The spelling of 132168309 in words is "one hundred thirty-two million, one hundred sixty-eight thousand, three hundred nine".

Divisors: 1 3 7 13 21 39 91 167 169 223 273 501 507 669 1169 1183 1561 2171 2899 3507 3549 4683 6513 8697 15197 20293 28223 37241 37687 45591 60879 84669 111723 113061 197561 260687 263809 484133 592683 782061 791427 1452399 3388931 6293729 10166793 18881187 44056103 132168309