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545940 = 22345337
BaseRepresentation
bin10000101010010010100
31000201220000
42011102110
5114432230
615411300
74432443
oct2052224
91021800
10545940
1134319a
12223b30
13161655
14102d5a
15abb60
hex85494

545940 has 60 divisors (see below), whose sum is σ = 1717716. Its totient is φ = 145152.

The previous prime is 545939. The next prime is 545947. The reversal of 545940 is 49545.

It can be written as a sum of positive squares in 2 ways, for example, as 171396 + 374544 = 414^2 + 612^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (545947) 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 19 ways as a sum of consecutive naturals, for example, 1452 + ... + 1788.

2545940 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 545940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858858).

545940 is an abundant number, since it is smaller than the sum of its proper divisors (1171776).

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

545940 is a wasteful number, since it uses less digits than its factorization.

545940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 545940 is about 738.8775270639. The cubic root of 545940 is about 81.7300262624.

It can be divided in two parts, 545 and 940, that added together give a triangular number (1485 = T54).

The spelling of 545940 in words is "five hundred forty-five thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 337 405 540 674 810 1011 1348 1620 1685 2022 3033 3370 4044 5055 6066 6740 9099 10110 12132 15165 18198 20220 27297 30330 36396 45495 54594 60660 90990 109188 136485 181980 272970 545940