Search a number
-
+
1073107992 = 2331119349613
BaseRepresentation
bin111111111101100…
…101010000011000
32202210020112102110
4333331211100120
54144203423432
6254252232320
735410160505
oct7775452030
92683215373
101073107992
11500817a10
1225b46b6a0
13141426558
14a273c4ac
1564322dcc
hex3ff65418

1073107992 has 128 divisors (see below), whose sum is σ = 3094560000. Its totient is φ = 306685440.

The previous prime is 1073107991. The next prime is 1073108021. The reversal of 1073107992 is 2997013701.

It is a self number, because there is not a number n which added to its sum of digits gives 1073107992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1073107991) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1750278 + ... + 1750890.

It is an arithmetic number, because the mean of its divisors is an integer number (24176250).

Almost surely, 21073107992 is an apocalyptic number.

1073107992 is a gapful number since it is divisible by the number (12) 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 1073107992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547280000).

1073107992 is an abundant number, since it is smaller than the sum of its proper divisors (2021452008).

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

1073107992 is a wasteful number, since it uses less digits than its factorization.

1073107992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 23814, while the sum is 39.

The square root of 1073107992 is about 32758.3270635117. The cubic root of 1073107992 is about 1023.7984705739.

The spelling of 1073107992 in words is "one billion, seventy-three million, one hundred seven thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 76 88 114 132 152 209 228 264 349 418 456 613 627 698 836 1047 1226 1254 1396 1672 1839 2094 2452 2508 2792 3678 3839 4188 4904 5016 6631 6743 7356 7678 8376 11517 11647 13262 13486 14712 15356 19893 20229 23034 23294 26524 26972 30712 34941 39786 40458 46068 46588 53048 53944 69882 72941 79572 80916 92136 93176 128117 139764 145882 159144 161832 213937 218823 256234 279528 291764 384351 427874 437646 512468 583528 641811 768702 855748 875292 1024936 1283622 1537404 1711496 1750584 2353307 2567244 3074808 4064803 4706614 5134488 7059921 8129606 9413228 12194409 14119842 16259212 18826456 24388818 28239684 32518424 44712833 48777636 56479368 89425666 97555272 134138499 178851332 268276998 357702664 536553996 1073107992