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532080 = 24325739
BaseRepresentation
bin10000001111001110000
31000000212200
42001321300
5114011310
615223200
74344153
oct2017160
91000780
10532080
1133383a
12217b00
13158253
14dbc9a
15a79c0
hex81e70

532080 has 60 divisors (see below), whose sum is σ = 1789320. Its totient is φ = 141696.

The previous prime is 532069. The next prime is 532093. The reversal of 532080 is 80235.

532080 = T73 + T74 + ... + T152.

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a d-powerful number, because it can be written as 53 + 312 + 0 + 2 + 83 + 0 .

It is a congruent number.

It is an unprimeable number.

532080 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 11 ways as a sum of consecutive naturals, for example, 351 + ... + 1089.

It is an arithmetic number, because the mean of its divisors is an integer number (29822).

2532080 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 532080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894660).

532080 is an abundant number, since it is smaller than the sum of its proper divisors (1257240).

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

532080 is a wasteful number, since it uses less digits than its factorization.

532080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 532080 is about 729.4381399406. The cubic root of 532080 is about 81.0324515603.

The spelling of 532080 in words is "five hundred thirty-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 739 1478 2217 2956 3695 4434 5912 6651 7390 8868 11085 11824 13302 14780 17736 22170 26604 29560 33255 35472 44340 53208 59120 66510 88680 106416 133020 177360 266040 532080