Search a number
-
+
1330104240 = 2436522807
BaseRepresentation
bin100111101000111…
…1100011110110000
310102200211022000000
41033101330132300
510211001313430
6335552430000
744650461633
oct11721743660
93380738000
101330104240
1162289a003
12311548300
1318274853a
14c8919c1a
157bb89e60
hex4f47c7b0

1330104240 has 140 divisors (see below), whose sum is σ = 4636820784. Its totient is φ = 354678912.

The previous prime is 1330104211. The next prime is 1330104241. The reversal of 1330104240 is 424010331.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1330104241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 46917 + ... + 69723.

Almost surely, 21330104240 is an apocalyptic number.

1330104240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1330104240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2318410392).

1330104240 is an abundant number, since it is smaller than the sum of its proper divisors (3306716544).

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

1330104240 is an equidigital number, since it uses as much as digits as its factorization.

1330104240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22838 (or 22817 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1330104240 is about 36470.5941821627. The cubic root of 1330104240 is about 1099.7531787815.

Adding to 1330104240 its reverse (424010331), we get a palindrome (1754114571).

It can be divided in two parts, 1330 and 104240, that added together give a triangular number (105570 = T459).

The spelling of 1330104240 in words is "one billion, three hundred thirty million, one hundred four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 243 270 324 360 405 432 486 540 648 720 729 810 972 1080 1215 1296 1458 1620 1944 2160 2430 2916 3240 3645 3888 4860 5832 6480 7290 9720 11664 14580 19440 22807 29160 45614 58320 68421 91228 114035 136842 182456 205263 228070 273684 342105 364912 410526 456140 547368 615789 684210 821052 912280 1026315 1094736 1231578 1368420 1642104 1824560 1847367 2052630 2463156 2736840 3078945 3284208 3694734 4105260 4926312 5473680 5542101 6157890 7389468 8210520 9236835 9852624 11084202 12315780 14778936 16421040 16626303 18473670 22168404 24631560 27710505 29557872 33252606 36947340 44336808 49263120 55421010 66505212 73894680 83131515 88673616 110842020 133010424 147789360 166263030 221684040 266020848 332526060 443368080 665052120 1330104240