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165244320 = 25335291319
BaseRepresentation
bin10011101100101…
…10110110100000
3102111221021121000
421312112312200
5314300304240
624221432000
74044360603
oct1166266640
9374837530
10165244320
118530455a
124740b600
1328308807
1417d3633a
15e791430
hex9d96da0

165244320 has 192 divisors, whose sum is σ = 598752000. Its totient is φ = 42513408.

The previous prime is 165244297. The next prime is 165244357. The reversal of 165244320 is 23442561.

165244320 is a `hidden beast` number, since 1 + 652 + 4 + 4 + 3 + 2 + 0 = 666.

165244320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124621 + ... + 125939.

It is an arithmetic number, because the mean of its divisors is an integer number (3118500).

Almost surely, 2165244320 is an apocalyptic number.

165244320 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 165244320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299376000).

165244320 is an abundant number, since it is smaller than the sum of its proper divisors (433507680).

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

165244320 is a wasteful number, since it uses less digits than its factorization.

165244320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1372 (or 1358 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 165244320 is about 12854.7392038890. The cubic root of 165244320 is about 548.7512384888.

Adding to 165244320 its reverse (23442561), we get a palindrome (188686881).

The spelling of 165244320 in words is "one hundred sixty-five million, two hundred forty-four thousand, three hundred twenty".