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1115663340 = 2235113121759
BaseRepresentation
bin100001001111111…
…1010101111101100
32212202022120101110
41002133322233230
54241102211330
6302412312020
736434660541
oct10237725754
92782276343
101115663340
11522843420
12271772610
1314a1a622c
14a8258bc8
1567e2bdb0
hex427fabec

1115663340 has 144 divisors (see below), whose sum is σ = 3523322880. Its totient is φ = 261590400.

The previous prime is 1115663317. The next prime is 1115663347. The reversal of 1115663340 is 433665111.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1115663298 and 1115663307.

It is not an unprimeable number, because it can be changed into a prime (1115663347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 633381 + ... + 635139.

It is an arithmetic number, because the mean of its divisors is an integer number (24467520).

Almost surely, 21115663340 is an apocalyptic number.

1115663340 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 1115663340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1761661440).

1115663340 is an abundant number, since it is smaller than the sum of its proper divisors (2407659540).

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

1115663340 is a wasteful number, since it uses less digits than its factorization.

1115663340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1844 (or 1811 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 1115663340 is about 33401.5469701629. The cubic root of 1115663340 is about 1037.1567246783.

The spelling of 1115663340 in words is "one billion, one hundred fifteen million, six hundred sixty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 31 33 44 55 60 62 66 93 110 124 132 155 165 186 220 310 330 341 372 465 620 660 682 930 961 1023 1364 1705 1759 1860 1922 2046 2883 3410 3518 3844 4092 4805 5115 5277 5766 6820 7036 8795 9610 10230 10554 10571 11532 14415 17590 19220 19349 20460 21108 21142 26385 28830 31713 35180 38698 42284 52770 52855 54529 57660 58047 63426 77396 96745 105540 105710 109058 116094 126852 158565 163587 193490 211420 218116 232188 272645 290235 317130 327174 386980 545290 580470 599819 634260 654348 817935 1090580 1160940 1199638 1635870 1690399 1799457 2399276 2999095 3271740 3380798 3598914 5071197 5998190 6761596 7197828 8451995 8997285 10142394 11996380 16903990 17994570 18594389 20284788 25355985 33807980 35989140 37188778 50711970 55783167 74377556 92971945 101423940 111566334 185943890 223132668 278915835 371887780 557831670 1115663340