Search a number
-
+
164544 = 263857
BaseRepresentation
bin101000001011000000
322100201020
4220023000
520231134
63305440
71253502
oct501300
9270636
10164544
11102696
127b280
1359b83
1443d72
1533b49
hex282c0

164544 has 28 divisors (see below), whose sum is σ = 435864. Its totient is φ = 54784.

The previous prime is 164531. The next prime is 164569. The reversal of 164544 is 445461.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 237 + ... + 620.

2164544 is an apocalyptic number.

It is an amenable number.

164544 is an abundant number, since it is smaller than the sum of its proper divisors (271320).

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

164544 is an equidigital number, since it uses as much as digits as its factorization.

164544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 862 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 164544 is about 405.6402346908. The cubic root of 164544 is about 54.7974922041.

Adding to 164544 its product of digits (1920), we get a square (166464 = 4082).

It can be divided in two parts, 16 and 4544, that added together give a triangular number (4560 = T95).

The spelling of 164544 in words is "one hundred sixty-four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 857 1714 2571 3428 5142 6856 10284 13712 20568 27424 41136 54848 82272 164544