Search a number
-
+
1068468760 = 235591732617
BaseRepresentation
bin111111101011111…
…000101000011000
32202110111211121001
4333223320220120
54142012000020
6254004554344
735322556162
oct7753705030
92673454531
101068468760
114a9139437
122599b29b4
13140490a48
14a1c91932
1563c0850a
hex3faf8a18

1068468760 has 64 divisors (see below), whose sum is σ = 2459872800. Its totient is φ = 417555456.

The previous prime is 1068468757. The next prime is 1068468809. The reversal of 1068468760 is 678648601.

It is a happy number.

It is a super-2 number, since 2×10684687602 = 2283250982191875200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1068468760.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 406972 + ... + 409588.

Almost surely, 21068468760 is an apocalyptic number.

1068468760 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 1068468760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1229936400).

1068468760 is an abundant number, since it is smaller than the sum of its proper divisors (1391404040).

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

1068468760 is a wasteful number, since it uses less digits than its factorization.

1068468760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2860 (or 2856 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 46.

The square root of 1068468760 is about 32687.4404014753. The cubic root of 1068468760 is about 1022.3209865891.

The spelling of 1068468760 in words is "one billion, sixty-eight million, four hundred sixty-eight thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 59 118 173 236 295 346 472 590 692 865 1180 1384 1730 2360 2617 3460 5234 6920 10207 10468 13085 20414 20936 26170 40828 51035 52340 81656 102070 104680 154403 204140 308806 408280 452741 617612 772015 905482 1235224 1544030 1810964 2263705 3088060 3621928 4527410 6176120 9054820 18109640 26711719 53423438 106846876 133558595 213693752 267117190 534234380 1068468760