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165424 = 2472211
BaseRepresentation
bin101000011000110000
322101220211
4220120300
520243144
63313504
71256200
oct503060
9271824
10165424
11103316
127b894
135a3ac
1444400
1534034
hex28630

165424 has 30 divisors (see below), whose sum is σ = 374604. Its totient is φ = 70560.

The previous prime is 165397. The next prime is 165437. The reversal of 165424 is 424561.

It is a nialpdrome in base 14.

It is a zygodrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 165395 and 165404.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 679 + ... + 889.

2165424 is an apocalyptic number.

165424 is a gapful number since it is divisible by the number (14) 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 165424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187302).

165424 is an abundant number, since it is smaller than the sum of its proper divisors (209180).

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

165424 is a wasteful number, since it uses less digits than its factorization.

165424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 220 counting only the distinct ones).

The product of its digits is 960, while the sum is 22.

The square root of 165424 is about 406.7234932974. The cubic root of 165424 is about 54.8950063087.

Adding to 165424 its reverse (424561), we get a palindrome (589985).

The spelling of 165424 in words is "one hundred sixty-five thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 211 392 422 784 844 1477 1688 2954 3376 5908 10339 11816 20678 23632 41356 82712 165424