Search a number
-
+
1359068544 = 2734472789
BaseRepresentation
bin101000100000001…
…1011110110000000
310111201022211120000
41101000123312000
510240410143134
6342505320000
745451614651
oct12100336600
93451284500
101359068544
11638182349
1231b196000
13188749c92
14cc6d9528
157e4abe99
hex5101bd80

1359068544 has 160 divisors (see below), whose sum is σ = 4132101600. Its totient is φ = 443225088.

The previous prime is 1359068507. The next prime is 1359068549. The reversal of 1359068544 is 4458609531.

1359068544 is a `hidden beast` number, since 1 + 3 + 590 + 6 + 8 + 54 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1359068544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1359068549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 485902 + ... + 488690.

It is an arithmetic number, because the mean of its divisors is an integer number (25825635).

Almost surely, 21359068544 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 1359068544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2066050800).

1359068544 is an abundant number, since it is smaller than the sum of its proper divisors (2773033056).

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

1359068544 is an equidigital number, since it uses as much as digits as its factorization.

1359068544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2862 (or 2841 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 1359068544 is about 36865.5468425466. The cubic root of 1359068544 is about 1107.6786549599.

The spelling of 1359068544 in words is "one billion, three hundred fifty-nine million, sixty-eight thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 47 48 54 64 72 81 94 96 108 128 141 144 162 188 192 216 282 288 324 376 384 423 432 564 576 648 752 846 864 1128 1152 1269 1296 1504 1692 1728 2256 2538 2592 2789 3008 3384 3456 3807 4512 5076 5184 5578 6016 6768 7614 8367 9024 10152 10368 11156 13536 15228 16734 18048 20304 22312 25101 27072 30456 33468 40608 44624 50202 54144 60912 66936 75303 81216 89248 100404 121824 131083 133872 150606 162432 178496 200808 225909 243648 262166 267744 301212 356992 393249 401616 451818 487296 524332 535488 602424 786498 803232 903636 1048664 1070976 1179747 1204848 1572996 1606464 1807272 2097328 2359494 2409696 3145992 3212928 3539241 3614544 4194656 4718988 4819392 6291984 7078482 7229088 8389312 9437976 9638784 10617723 12583968 14156964 14458176 16778624 18875952 21235446 25167936 28313928 28916352 37751904 42470892 50335872 56627856 75503808 84941784 113255712 151007616 169883568 226511424 339767136 453022848 679534272 1359068544