Search a number
-
+
1068929316 = 223273136659
BaseRepresentation
bin111111101101101…
…001000100100100
32202111101020100200
4333231221010210
54142121214231
6254022510500
735326515000
oct7755510444
92674336320
101068929316
114a9423464
12259b95430
131405c2570
14a1d71700
1563c99be6
hex3fb69124

1068929316 has 144 divisors (see below), whose sum is σ = 3393936000. Its totient is φ = 281873088.

The previous prime is 1068929311. The next prime is 1068929317. The reversal of 1068929316 is 6139298601.

It is a happy number.

It is a super-2 number, since 2×10689293162 = 2285219765208455712, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1068929311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 157195 + ... + 163853.

It is an arithmetic number, because the mean of its divisors is an integer number (23569000).

Almost surely, 21068929316 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1068929316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1696968000).

1068929316 is an abundant number, since it is smaller than the sum of its proper divisors (2325006684).

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

1068929316 is a wasteful number, since it uses less digits than its factorization.

1068929316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6703 (or 6684 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 1068929316 is about 32694.4844889776. The cubic root of 1068929316 is about 1022.4678535973.

The spelling of 1068929316 in words is "one billion, sixty-eight million, nine hundred twenty-nine thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 49 52 63 78 84 91 98 117 126 147 156 182 196 234 252 273 294 343 364 441 468 546 588 637 686 819 882 1029 1092 1274 1372 1638 1764 1911 2058 2548 3087 3276 3822 4116 4459 5733 6174 6659 7644 8918 11466 12348 13318 13377 17836 19977 22932 26636 26754 39954 40131 46613 53508 59931 79908 80262 86567 93226 119862 139839 160524 173134 186452 239724 259701 279678 326291 346268 419517 519402 559356 605969 652582 779103 839034 978873 1038804 1211938 1305164 1558206 1678068 1817907 1957746 2284037 2423876 2936619 3116412 3635814 3915492 4241783 4568074 5453721 5873238 6852111 7271628 8483566 9136148 10907442 11746476 12725349 13704222 16967132 20556333 21814884 25450698 27408444 29692481 38176047 41112666 50901396 59384962 76352094 82225332 89077443 118769924 152704188 178154886 267232329 356309772 534464658 1068929316