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158080329 = 341121272
BaseRepresentation
bin10010110110000…
…01110101001001
3102000110022110000
421123001311021
5310432032304
623404113213
73626442411
oct1133016511
9360408400
10158080329
1181261100
1244b35809
132699aa74
1416dcd641
15dd28939
hex96c1d49

158080329 has 45 divisors (see below), whose sum is σ = 261623901. Its totient is φ = 95051880.

The previous prime is 158080319. The next prime is 158080339. The reversal of 158080329 is 923080851.

The square root of 158080329 is 12573.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (158080319) and next prime (158080339).

It is not a de Polignac number, because 158080329 - 27 = 158080201 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 158080293 and 158080302.

It is not an unprimeable number, because it can be changed into a prime (158080309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1244664 + ... + 1244790.

Almost surely, 2158080329 is an apocalyptic number.

158080329 is the 12573-rd square number.

158080329 is the 6287-th centered octagonal number.

It is an amenable number.

158080329 is a deficient number, since it is larger than the sum of its proper divisors (103543572).

158080329 is an equidigital number, since it uses as much as digits as its factorization.

158080329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The cubic root of 158080329 is about 540.7036198224.

Multiplying 158080329 by its sum of digits (36), we get a square (5690891844 = 754382).

The spelling of 158080329 in words is "one hundred fifty-eight million, eighty thousand, three hundred twenty-nine".

Divisors: 1 3 9 11 27 33 81 99 121 127 297 363 381 891 1089 1143 1397 3267 3429 4191 9801 10287 12573 15367 16129 37719 46101 48387 113157 138303 145161 177419 414909 435483 532257 1244727 1306449 1596771 1951609 4790313 5854827 14370939 17564481 52693443 158080329