Search a number
-
+
2006246528 = 271113432549
BaseRepresentation
bin111011110010100…
…1110010010000000
312011211002212211222
41313211032102000
513102044342103
6531024454212
7100500546146
oct16745162200
95154085758
102006246528
1193a523790
1247ba7a368
1325c853630
14150643596
15bb1e8638
hex7794e480

2006246528 has 128 divisors (see below), whose sum is σ = 4806648000. Its totient is φ = 821882880.

The previous prime is 2006246497. The next prime is 2006246533. The reversal of 2006246528 is 8256426002.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×20062465282 = 8050050262224109568, which contains 22 as substring.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 785798 + ... + 788346.

Almost surely, 22006246528 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 2006246528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2403324000).

2006246528 is an abundant number, since it is smaller than the sum of its proper divisors (2800401472).

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

2006246528 is a wasteful number, since it uses less digits than its factorization.

2006246528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2630 (or 2618 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The square root of 2006246528 is about 44791.1434102770. The cubic root of 2006246528 is about 1261.2313753621.

The spelling of 2006246528 in words is "two billion, six million, two hundred forty-six thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 11 13 16 22 26 32 43 44 52 64 86 88 104 128 143 172 176 208 286 344 352 416 473 559 572 688 704 832 946 1118 1144 1376 1408 1664 1892 2236 2288 2549 2752 3784 4472 4576 5098 5504 6149 7568 8944 9152 10196 12298 15136 17888 18304 20392 24596 28039 30272 33137 35776 40784 49192 56078 60544 66274 71552 81568 98384 109607 112156 132548 163136 196768 219214 224312 265096 326272 364507 393536 438428 448624 530192 729014 787072 876856 897248 1060384 1205677 1424891 1458028 1753712 1794496 2120768 2411354 2849782 2916056 3507424 3588992 4241536 4822708 5699564 5832112 7014848 9645416 11399128 11664224 14029696 15673801 19290832 22798256 23328448 31347602 38581664 45596512 46656896 62695204 77163328 91193024 125390408 154326656 182386048 250780816 501561632 1003123264 2006246528