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539136 = 293413
BaseRepresentation
bin10000011101000000000
31000101120000
42003220000
5114223021
615320000
74403553
oct2035000
91011500
10539136
11339074
12220000
1315b520
1410069a
15a9b26
hex83a00

539136 has 100 divisors (see below), whose sum is σ = 1732962. Its totient is φ = 165888.

The previous prime is 539129. The next prime is 539141. The reversal of 539136 is 631935.

It can be written as a sum of positive squares in only one way, i.e., 518400 + 20736 = 720^2 + 144^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (2430) is a multiple of the sum of its prime divisors (18).

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 539136.

It is an unprimeable number.

539136 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 (5) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 41466 + ... + 41478.

539136 is a Friedman number, since it can be written as (13*(9+3)^5)/6, using all its digits and the basic arithmetic operations.

2539136 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 539136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866481).

539136 is an abundant number, since it is smaller than the sum of its proper divisors (1193826).

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

539136 is an equidigital number, since it uses as much as digits as its factorization.

539136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43 (or 18 counting only the distinct ones).

The product of its digits is 2430, while the sum is 27.

The square root of 539136 is about 734.2588099574. The cubic root of 539136 is about 81.3890746323.

The spelling of 539136 in words is "five hundred thirty-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 81 96 104 108 117 128 144 156 162 192 208 216 234 256 288 312 324 351 384 416 432 468 512 576 624 648 702 768 832 864 936 1053 1152 1248 1296 1404 1536 1664 1728 1872 2106 2304 2496 2592 2808 3328 3456 3744 4212 4608 4992 5184 5616 6656 6912 7488 8424 9984 10368 11232 13824 14976 16848 19968 20736 22464 29952 33696 41472 44928 59904 67392 89856 134784 179712 269568 539136