Search a number
-
+
532000 = 2553719
BaseRepresentation
bin10000001111000100000
31000000202201
42001320200
5114011000
615222544
74344010
oct2017040
91000681
10532000
11333777
12217a54
131581c1
14dbc40
15a796a
hex81e20

532000 has 96 divisors (see below), whose sum is σ = 1572480. Its totient is φ = 172800.

The previous prime is 531997. The next prime is 532001. The reversal of 532000 is 235.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a plaindrome in base 11.

It is a nialpdrome in base 10.

It is a zygodrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (532001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27991 + ... + 28009.

It is an arithmetic number, because the mean of its divisors is an integer number (16380).

2532000 is an apocalyptic number.

532000 is a gapful number since it is divisible by the number (50) 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 532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786240).

532000 is an abundant number, since it is smaller than the sum of its proper divisors (1040480).

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

532000 is a wasteful number, since it uses less digits than its factorization.

532000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 10.

The square root of 532000 is about 729.3833011524. The cubic root of 532000 is about 81.0283901904.

Adding to 532000 its reverse (235), we get a palindrome (532235).

It can be divided in two parts, 5 and 32000, that multiplied together give a 4-th power (160000 = 204).

The spelling of 532000 in words is "five hundred thirty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 25 28 32 35 38 40 50 56 70 76 80 95 100 112 125 133 140 152 160 175 190 200 224 250 266 280 304 350 380 400 475 500 532 560 608 665 700 760 800 875 950 1000 1064 1120 1330 1400 1520 1750 1900 2000 2128 2375 2660 2800 3040 3325 3500 3800 4000 4256 4750 5320 5600 6650 7000 7600 9500 10640 13300 14000 15200 16625 19000 21280 26600 28000 33250 38000 53200 66500 76000 106400 133000 266000 532000