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532140 = 223572181
BaseRepresentation
bin10000001111010101100
31000000221220
42001322230
5114012030
615223340
74344300
oct2017254
91000856
10532140
11333894
12217b50
1315829b
14dbd00
15a7a10
hex81eac

532140 has 72 divisors (see below), whose sum is σ = 1742832. Its totient is φ = 120960.

The previous prime is 532099. The next prime is 532141. The reversal of 532140 is 41235.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 532140.

It is not an unprimeable number, because it can be changed into a prime (532141) by changing a digit.

532140 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2850 + ... + 3030.

It is an arithmetic number, because the mean of its divisors is an integer number (24206).

2532140 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 532140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (871416).

532140 is an abundant number, since it is smaller than the sum of its proper divisors (1210692).

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

532140 is a wasteful number, since it uses less digits than its factorization.

532140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 532140 is about 729.4792663263. The cubic root of 532140 is about 81.0354973206.

Adding to 532140 its reverse (41235), we get a palindrome (573375).

The spelling of 532140 in words is "five hundred thirty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 181 196 210 245 294 362 420 490 543 588 724 735 905 980 1086 1267 1470 1810 2172 2534 2715 2940 3620 3801 5068 5430 6335 7602 8869 10860 12670 15204 17738 19005 25340 26607 35476 38010 44345 53214 76020 88690 106428 133035 177380 266070 532140