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537040 = 24572137
BaseRepresentation
bin10000011000111010000
31000021200101
42003013100
5114141130
615302144
74364500
oct2030720
91007611
10537040
11337539
1221a954
1315a59a
14dda00
15a91ca
hex831d0

537040 has 60 divisors (see below), whose sum is σ = 1463076. Its totient is φ = 182784.

The previous prime is 537037. The next prime is 537041. The reversal of 537040 is 40735.

It can be written as a sum of positive squares in 2 ways, for example, as 254016 + 283024 = 504^2 + 532^2 .

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 536999 and 537017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (537041) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3852 + ... + 3988.

2537040 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 537040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731538).

537040 is an abundant number, since it is smaller than the sum of its proper divisors (926036).

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

537040 is a wasteful number, since it uses less digits than its factorization.

537040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 19.

The square root of 537040 is about 732.8301303849. The cubic root of 537040 is about 81.2834655042.

Adding to 537040 its reverse (40735), we get a palindrome (577775).

The spelling of 537040 in words is "five hundred thirty-seven thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 137 140 196 245 274 280 392 490 548 560 685 784 959 980 1096 1370 1918 1960 2192 2740 3836 3920 4795 5480 6713 7672 9590 10960 13426 15344 19180 26852 33565 38360 53704 67130 76720 107408 134260 268520 537040