Search a number
-
+
1146028950 = 23252111271823
BaseRepresentation
bin100010001001111…
…0000001110010110
32221212110022011200
41010103300032112
54321340411300
6305415213330
740254041163
oct10423601626
92855408150
101146028950
115389a3570
1227b977246
13153578751
14ac2c106a
156a929200
hex444f0396

1146028950 has 144 divisors (see below), whose sum is σ = 3387211776. Its totient is φ = 275486400.

The previous prime is 1146028867. The next prime is 1146028951. The reversal of 1146028950 is 598206411.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1146028951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 627739 + ... + 629561.

It is an arithmetic number, because the mean of its divisors is an integer number (23522304).

Almost surely, 21146028950 is an apocalyptic number.

1146028950 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 1146028950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1693605888).

1146028950 is an abundant number, since it is smaller than the sum of its proper divisors (2241182826).

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

1146028950 is a wasteful number, since it uses less digits than its factorization.

1146028950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1979 (or 1971 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 1146028950 is about 33853.0493456646. The cubic root of 1146028950 is about 1046.4822414091.

The spelling of 1146028950 in words is "one billion, one hundred forty-six million, twenty-eight thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 30 33 45 50 55 66 75 90 99 110 127 150 165 198 225 254 275 330 381 450 495 550 635 762 825 990 1143 1270 1397 1650 1823 1905 2286 2475 2794 3175 3646 3810 4191 4950 5469 5715 6350 6985 8382 9115 9525 10938 11430 12573 13970 16407 18230 19050 20053 20955 25146 27345 28575 32814 34925 40106 41910 45575 54690 57150 60159 62865 69850 82035 91150 100265 104775 120318 125730 136725 164070 180477 200530 209550 231521 273450 300795 314325 360954 410175 463042 501325 601590 628650 694563 820350 902385 1002650 1157605 1389126 1503975 1804770 2083689 2315210 2546731 3007950 3472815 4167378 4511925 5093462 5788025 6945630 7640193 9023850 10418445 11576050 12733655 15280386 17364075 20836890 22920579 25467310 34728150 38200965 45841158 52092225 63668275 76401930 104184450 114602895 127336550 191004825 229205790 382009650 573014475 1146028950