Search a number
-
+
1151300040 = 2335115914783
BaseRepresentation
bin100010010011111…
…0111000111001000
32222020101002202020
41010213313013020
54324213100130
6310124204440
740346613612
oct10447670710
92866332666
101151300040
11540973840
12281699720
131546a2a37
14acc93db2
156b11ae10
hex449f71c8

1151300040 has 128 divisors (see below), whose sum is σ = 3832012800. Its totient is φ = 274353920.

The previous prime is 1151300039. The next prime is 1151300053. The reversal of 1151300040 is 400031511.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a junction number, because it is equal to n+sod(n) for n = 1151299992 and 1151300019.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70489 + ... + 85271.

It is an arithmetic number, because the mean of its divisors is an integer number (29937600).

Almost surely, 21151300040 is an apocalyptic number.

1151300040 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 1151300040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1916006400).

1151300040 is an abundant number, since it is smaller than the sum of its proper divisors (2680712760).

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

1151300040 is a wasteful number, since it uses less digits than its factorization.

1151300040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14867 (or 14863 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 1151300040 is about 33930.8125455315. The cubic root of 1151300040 is about 1048.0841982155.

Adding to 1151300040 its reverse (400031511), we get a palindrome (1551331551).

The spelling of 1151300040 in words is "one billion, one hundred fifty-one million, three hundred thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 59 60 66 88 110 118 120 132 165 177 220 236 264 295 330 354 440 472 590 649 660 708 885 1180 1298 1320 1416 1770 1947 2360 2596 3245 3540 3894 5192 6490 7080 7788 9735 12980 14783 15576 19470 25960 29566 38940 44349 59132 73915 77880 88698 118264 147830 162613 177396 221745 295660 325226 354792 443490 487839 591320 650452 813065 872197 886980 975678 1300904 1626130 1744394 1773960 1951356 2439195 2616591 3252260 3488788 3902712 4360985 4878390 5233182 6504520 6977576 8721970 9594167 9756780 10466364 13082955 17443940 19188334 19513560 20932728 26165910 28782501 34887880 38376668 47970835 52331820 57565002 76753336 95941670 104663640 115130004 143912505 191883340 230260008 287825010 383766680 575650020 1151300040