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165275660 = 225114317471
BaseRepresentation
bin10011101100111…
…10100000001100
3102111222212120202
421312132200030
5314302310120
624222233032
74044551144
oct1166364014
9374885522
10165275660
1185326060
1247425778
1328319b64
1417d43924
15e79a875
hex9d9e80c

165275660 has 48 divisors (see below), whose sum is σ = 387459072. Its totient is φ = 58699200.

The previous prime is 165275639. The next prime is 165275687. The reversal of 165275660 is 66572561.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 725 + ... + 18195.

It is an arithmetic number, because the mean of its divisors is an integer number (8072064).

Almost surely, 2165275660 is an apocalyptic number.

165275660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165275660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193729536).

165275660 is an abundant number, since it is smaller than the sum of its proper divisors (222183412).

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

165275660 is a wasteful number, since it uses less digits than its factorization.

165275660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17534 (or 17532 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 38.

The square root of 165275660 is about 12855.9581517676. The cubic root of 165275660 is about 548.7859280859.

The spelling of 165275660 in words is "one hundred sixty-five million, two hundred seventy-five thousand, six hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 43 44 55 86 110 172 215 220 430 473 860 946 1892 2365 4730 9460 17471 34942 69884 87355 174710 192181 349420 384362 751253 768724 960905 1502506 1921810 3005012 3756265 3843620 7512530 8263783 15025060 16527566 33055132 41318915 82637830 165275660