Search a number
-
+
1078000812 = 223474211129
BaseRepresentation
bin100000001000000…
…1111110010101100
32210010110010010000
41000100033302230
54201432011222
6254545144300
735466566340
oct10020176254
92703403100
101078000812
11503559a69
1226102b090
1314244a605
14a3253620
156498c9ac
hex4040fcac

1078000812 has 120 divisors (see below), whose sum is σ = 3231203360. Its totient is φ = 306996480.

The previous prime is 1078000793. The next prime is 1078000813. The reversal of 1078000812 is 2180008701.

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

It is not an unprimeable number, because it can be changed into a prime (1078000813) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 954264 + ... + 955392.

Almost surely, 21078000812 is an apocalyptic number.

1078000812 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 1078000812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1615601680).

1078000812 is an abundant number, since it is smaller than the sum of its proper divisors (2153202548).

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

1078000812 is a wasteful number, since it uses less digits than its factorization.

1078000812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1573 (or 1562 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 1078000812 is about 32832.9226844032. The cubic root of 1078000812 is about 1025.3521096852.

The spelling of 1078000812 in words is "one billion, seventy-eight million, eight hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 378 421 567 756 842 1129 1134 1263 1684 2258 2268 2526 2947 3387 3789 4516 5052 5894 6774 7578 7903 8841 10161 11367 11788 13548 15156 15806 17682 20322 22734 23709 26523 30483 31612 34101 35364 40644 45468 47418 53046 60966 68202 71127 79569 91449 94836 106092 121932 136404 142254 159138 182898 213381 238707 284508 318276 365796 426762 475309 477414 640143 853524 950618 954828 1280286 1425927 1901236 2560572 2851854 3327163 4277781 5703708 6654326 8555562 9981489 12833343 13308652 17111124 19962978 25666686 29944467 38500029 39925956 51333372 59888934 77000058 89833401 119777868 154000116 179666802 269500203 359333604 539000406 1078000812