Search a number
-
+
544030080 = 27351125759
BaseRepresentation
bin100000011011010…
…011110110000000
31101220200120222020
4200123103312000
52103232430310
6125552241440
716324115346
oct4033236600
91356616866
10544030080
1125a0aa940
12132240280
13889300b9
1452377996
1532b64170
hex206d3d80

544030080 has 128 divisors (see below), whose sum is σ = 1891814400. Its totient is φ = 131880960.

The previous prime is 544030079. The next prime is 544030099. The reversal of 544030080 is 80030445.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 544030080.

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, 8241 + ... + 33999.

It is an arithmetic number, because the mean of its divisors is an integer number (14779800).

Almost surely, 2544030080 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 544030080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (945907200).

544030080 is an abundant number, since it is smaller than the sum of its proper divisors (1347784320).

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

544030080 is a wasteful number, since it uses less digits than its factorization.

544030080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25792 (or 25780 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 544030080 is about 23324.4524051477. The cubic root of 544030080 is about 816.3460662073.

The spelling of 544030080 in words is "five hundred forty-four million, thirty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 264 320 330 352 384 440 480 528 640 660 704 880 960 1056 1320 1408 1760 1920 2112 2640 3520 4224 5280 7040 10560 21120 25759 51518 77277 103036 128795 154554 206072 257590 283349 309108 386385 412144 515180 566698 618216 772770 824288 850047 1030360 1133396 1236432 1416745 1545540 1648576 1700094 2060720 2266792 2472864 2833490 3091080 3297152 3400188 4121440 4250235 4533584 4945728 5666980 6182160 6800376 8242880 8500470 9067168 9891456 11333960 12364320 13600752 16485760 17000940 18134336 22667920 24728640 27201504 34001880 36268672 45335840 49457280 54403008 68003760 90671680 108806016 136007520 181343360 272015040 544030080