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532116 = 223313379
BaseRepresentation
bin10000001111010010100
31000000221000
42001322110
5114011431
615223300
74344234
oct2017224
91000830
10532116
11333872
12217b30
13158280
14dbcc4
15a79e6
hex81e94

532116 has 48 divisors (see below), whose sum is σ = 1489600. Its totient is φ = 163296.

The previous prime is 532099. The next prime is 532141. The reversal of 532116 is 611235.

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 + 1 + 29 + 1 + 62 .

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, 1215 + ... + 1593.

2532116 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 532116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744800).

532116 is an abundant number, since it is smaller than the sum of its proper divisors (957484).

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

532116 is a wasteful number, since it uses less digits than its factorization.

532116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 397 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 532116 is about 729.4628160503. The cubic root of 532116 is about 81.0342790439.

The spelling of 532116 in words is "five hundred thirty-two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 379 468 702 758 1137 1404 1516 2274 3411 4548 4927 6822 9854 10233 13644 14781 19708 20466 29562 40932 44343 59124 88686 133029 177372 266058 532116