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539920 = 24517397
BaseRepresentation
bin10000011110100010000
31000102122001
42003310100
5114234140
615323344
74406053
oct2036420
91012561
10539920
11339717
12220554
1315b9a4
14100a9a
15a9e9a
hex83d10

539920 has 40 divisors (see below), whose sum is σ = 1332504. Its totient is φ = 202752.

The previous prime is 539899. The next prime is 539921. The reversal of 539920 is 29935.

539920 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in 4 ways, for example, as 150544 + 389376 = 388^2 + 624^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a d-powerful number, because it can be written as 53 + 312 + 92 + 92 + 213 + 0 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (539921) by changing a digit.

539920 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1162 + ... + 1558.

2539920 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 539920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666252).

539920 is an abundant number, since it is smaller than the sum of its proper divisors (792584).

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

539920 is a wasteful number, since it uses less digits than its factorization.

539920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 28.

The square root of 539920 is about 734.7924877134. The cubic root of 539920 is about 81.4285069398.

The spelling of 539920 in words is "five hundred thirty-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 397 680 794 1360 1588 1985 3176 3970 6352 6749 7940 13498 15880 26996 31760 33745 53992 67490 107984 134980 269960 539920