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165068145 = 33511293833
BaseRepresentation
bin10011101011010…
…11110101110001
3102111121022221000
421311223311301
5314224140040
624213552213
74043025144
oct1165536561
9374538830
10165068145
11851a4160
1247345669
1328276578
1417ccc05b
15e759130
hex9d6bd71

165068145 has 64 divisors (see below), whose sum is σ = 331257600. Its totient is φ = 77253120.

The previous prime is 165068131. The next prime is 165068161. The reversal of 165068145 is 541860561.

165068145 is a `hidden beast` number, since 1 + 6 + 506 + 8 + 145 = 666.

It is not a de Polignac number, because 165068145 - 210 = 165067121 is a prime.

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 63 ways as a sum of consecutive naturals, for example, 41149 + ... + 44981.

It is an arithmetic number, because the mean of its divisors is an integer number (5175900).

Almost surely, 2165068145 is an apocalyptic number.

165068145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

165068145 is an abundant number, since it is smaller than the sum of its proper divisors (166189455).

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

165068145 is a wasteful number, since it uses less digits than its factorization.

165068145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3887 (or 3881 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 165068145 is about 12847.8848453744. The cubic root of 165068145 is about 548.5561523543.

The spelling of 165068145 in words is "one hundred sixty-five million, sixty-eight thousand, one hundred forty-five".

Divisors: 1 3 5 9 11 15 27 29 33 45 55 87 99 135 145 165 261 297 319 435 495 783 957 1305 1485 1595 2871 3833 3915 4785 8613 11499 14355 19165 34497 42163 43065 57495 103491 111157 126489 172485 210815 333471 379467 517455 555785 632445 1000413 1138401 1222727 1667355 1897335 3001239 3668181 5002065 5692005 6113635 11004543 15006195 18340905 33013629 55022715 165068145