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1016990208 = 2933135659
BaseRepresentation
bin111100100111100…
…000101000000000
32121212122110022000
4330213200220000
54040322141313
6244525344000
734126163013
oct7447405000
92555573260
101016990208
11482078883
12244708000
13132908670
14990d137a
155e43a673
hex3c9e0a00

1016990208 has 160 divisors (see below), whose sum is σ = 3242500800. Its totient is φ = 312864768.

The previous prime is 1016990203. The next prime is 1016990209. The reversal of 1016990208 is 8020996101.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1016990203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176883 + ... + 182541.

It is an arithmetic number, because the mean of its divisors is an integer number (20265630).

Almost surely, 21016990208 is an apocalyptic number.

1016990208 is a gapful number since it is divisible by the number (18) 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 1016990208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1621250400).

1016990208 is an abundant number, since it is smaller than the sum of its proper divisors (2225510592).

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

1016990208 is an equidigital number, since it uses as much as digits as its factorization.

1016990208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5699 (or 5677 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 1016990208 is about 31890.2839121887. The cubic root of 1016990208 is about 1005.6316278978.

The spelling of 1016990208 in words is "one billion, sixteen million, nine hundred ninety thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 256 288 312 351 384 416 432 468 512 576 624 702 768 832 864 936 1152 1248 1404 1536 1664 1728 1872 2304 2496 2808 3328 3456 3744 4608 4992 5616 5659 6656 6912 7488 9984 11232 11318 13824 14976 16977 19968 22464 22636 29952 33954 44928 45272 50931 59904 67908 73567 89856 90544 101862 135816 147134 152793 179712 181088 203724 220701 271632 294268 305586 362176 407448 441402 543264 588536 611172 662103 724352 814896 882804 1086528 1177072 1222344 1324206 1448704 1629792 1765608 1986309 2173056 2354144 2444688 2648412 2897408 3259584 3531216 3972618 4346112 4708288 4889376 5296824 6519168 7062432 7945236 8692224 9416576 9778752 10593648 13038336 14124864 15890472 18833152 19557504 21187296 26076672 28249728 31780944 37666304 39115008 42374592 56499456 63561888 78230016 84749184 112998912 127123776 169498368 254247552 338996736 508495104 1016990208