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531072 = 2732461
BaseRepresentation
bin10000001101010000000
3222222111100
42001222000
5113443242
615214400
74341213
oct2015200
9888440
10531072
11333003
12217400
13157959
14db77a
15a754c
hex81a80

531072 has 48 divisors (see below), whose sum is σ = 1531530. Its totient is φ = 176640.

The previous prime is 531071. The next prime is 531079. The reversal of 531072 is 270135.

It can be written as a sum of positive squares in only one way, i.e., 484416 + 46656 = 696^2 + 216^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 3 and base 9.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (531071) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 922 + ... + 1382.

2531072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 531072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765765).

531072 is an abundant number, since it is smaller than the sum of its proper divisors (1000458).

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

531072 is a wasteful number, since it uses less digits than its factorization.

531072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 531072 is about 728.7468696331. The cubic root of 531072 is about 80.9812485172.

The spelling of 531072 in words is "five hundred thirty-one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 461 576 922 1152 1383 1844 2766 3688 4149 5532 7376 8298 11064 14752 16596 22128 29504 33192 44256 59008 66384 88512 132768 177024 265536 531072