Search a number
-
+
1117930410 = 23452322609
BaseRepresentation
bin100001010100010…
…0100001110101010
32212220120202020000
41002220210032222
54242142233120
6302533043430
736463152222
oct10250441652
92786522200
101117930410
11524051733
12272486576
1314a7bb0ac
14a8689082
1568228990
hex42a243aa

1117930410 has 120 divisors (see below), whose sum is σ = 3143572740. Its totient is φ = 285043968.

The previous prime is 1117930409. The next prime is 1117930427. The reversal of 1117930410 is 140397111.

It can be written as a sum of positive squares in 2 ways, for example, as 1110688929 + 7241481 = 33327^2 + 2691^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 427186 + ... + 429794.

Almost surely, 21117930410 is an apocalyptic number.

1117930410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1117930410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1571786370).

1117930410 is an abundant number, since it is smaller than the sum of its proper divisors (2025642330).

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

1117930410 is a wasteful number, since it uses less digits than its factorization.

1117930410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2674 (or 2642 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 1117930410 is about 33435.4663493722. The cubic root of 1117930410 is about 1037.8587632351.

The spelling of 1117930410 in words is "one billion, one hundred seventeen million, nine hundred thirty thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 54 69 81 90 115 135 138 162 207 230 270 345 405 414 529 621 690 810 1035 1058 1242 1587 1863 2070 2609 2645 3105 3174 3726 4761 5218 5290 6210 7827 7935 9315 9522 13045 14283 15654 15870 18630 23481 23805 26090 28566 39135 42849 46962 47610 60007 70443 71415 78270 85698 117405 120014 140886 142830 180021 211329 214245 234810 300035 352215 360042 422658 428490 540063 600070 704430 900105 1056645 1080126 1380161 1620189 1800210 2113290 2700315 2760322 3240378 4140483 4860567 5400630 6900805 8100945 8280966 9721134 12421449 13801610 16201890 20702415 24302835 24842898 37264347 41404830 48605670 62107245 74528694 111793041 124214490 186321735 223586082 372643470 558965205 1117930410