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1026066150 = 233521495101
BaseRepresentation
bin111101001010001…
…000011011100110
32122111201120011000
4331022020123212
54100133104100
6245452054130
734266263334
oct7512103346
92574646130
101026066150
1148720775a
12247764346
13134765745
149a3b4b54
156012e900
hex3d2886e6

1026066150 has 96 divisors (see below), whose sum is σ = 2846916000. Its totient is φ = 271728000.

The previous prime is 1026066149. The next prime is 1026066187. The reversal of 1026066150 is 516606201.

It is a happy number.

1026066150 is a `hidden beast` number, since 1 + 0 + 2 + 606 + 6 + 1 + 50 = 666.

1026066150 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 198600 + ... + 203700.

It is an arithmetic number, because the mean of its divisors is an integer number (29655375).

Almost surely, 21026066150 is an apocalyptic number.

1026066150 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 1026066150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1423458000).

1026066150 is an abundant number, since it is smaller than the sum of its proper divisors (1820849850).

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

1026066150 is a wasteful number, since it uses less digits than its factorization.

1026066150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5271 (or 5260 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1026066150 is about 32032.2673253081. The cubic root of 1026066150 is about 1008.6142974679.

The spelling of 1026066150 in words is "one billion, twenty-six million, sixty-six thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 135 149 150 225 270 298 447 450 675 745 894 1341 1350 1490 2235 2682 3725 4023 4470 5101 6705 7450 8046 10202 11175 13410 15303 20115 22350 25505 30606 33525 40230 45909 51010 67050 76515 91818 100575 127525 137727 153030 201150 229545 255050 275454 382575 459090 688635 760049 765150 1147725 1377270 1520098 2280147 2295450 3443175 3800245 4560294 6840441 6886350 7600490 11400735 13680882 19001225 20521323 22801470 34202205 38002450 41042646 57003675 68404410 102606615 114007350 171011025 205213230 342022050 513033075 1026066150