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532380 = 223519467
BaseRepresentation
bin10000001111110011100
31000001021210
42001332130
5114014010
615224420
74345062
oct2017634
91001253
10532380
11333a92
12218110
13158424
14dc032
15a7b20
hex81f9c

532380 has 48 divisors (see below), whose sum is σ = 1572480. Its totient is φ = 134208.

The previous prime is 532379. The next prime is 532391. The reversal of 532380 is 83235.

532380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 907 + ... + 1373.

It is an arithmetic number, because the mean of its divisors is an integer number (32760).

2532380 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 532380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786240).

532380 is an abundant number, since it is smaller than the sum of its proper divisors (1040100).

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

532380 is a wasteful number, since it uses less digits than its factorization.

532380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 532380 is about 729.6437486884. The cubic root of 532380 is about 81.0476780727.

It can be divided in two parts, 5 and 32380, that added together give a triangular number (32385 = T254).

The spelling of 532380 in words is "five hundred thirty-two thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 467 570 934 1140 1401 1868 2335 2802 4670 5604 7005 8873 9340 14010 17746 26619 28020 35492 44365 53238 88730 106476 133095 177460 266190 532380