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165327960 = 23357231907
BaseRepresentation
bin10011101101010…
…11010001011000
3102112002112022210
421312223101120
5314310443320
624223315120
74045156500
oct1166532130
9375075283
10165327960
1185361386
124744baa0
13283378c5
1417d58a00
15e7ab0e0
hex9dab458

165327960 has 192 divisors, whose sum is σ = 596229120. Its totient is φ = 36529920.

The previous prime is 165327917. The next prime is 165327997. The reversal of 165327960 is 69723561.

165327960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 181827 + ... + 182733.

It is an arithmetic number, because the mean of its divisors is an integer number (3105360).

Almost surely, 2165327960 is an apocalyptic number.

165327960 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 165327960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298114560).

165327960 is an abundant number, since it is smaller than the sum of its proper divisors (430901160).

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

165327960 is a wasteful number, since it uses less digits than its factorization.

165327960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 966 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 39.

The square root of 165327960 is about 12857.9920671931. The cubic root of 165327960 is about 548.8438081092.

The spelling of 165327960 in words is "one hundred sixty-five million, three hundred twenty-seven thousand, nine hundred sixty".