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1016266290 = 23513317907
BaseRepresentation
bin111100100100101…
…111111000110010
32121211021200021020
4330210233320302
54040131010130
6244502040310
734120056324
oct7444577062
92554250236
101016266290
114817239a6
12244419096
13132714000
1498d83614
155e345e10
hex3c92fe32

1016266290 has 128 divisors (see below), whose sum is σ = 2800707840. Its totient is φ = 235183104.

The previous prime is 1016266267. The next prime is 1016266297. The reversal of 1016266290 is 926626101.

It is not an unprimeable number, because it can be changed into a prime (1016266297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1120017 + ... + 1120923.

It is an arithmetic number, because the mean of its divisors is an integer number (21880530).

Almost surely, 21016266290 is an apocalyptic number.

1016266290 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 1016266290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1400353920).

1016266290 is an abundant number, since it is smaller than the sum of its proper divisors (1784441550).

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

1016266290 is a wasteful number, since it uses less digits than its factorization.

1016266290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 1016266290 is about 31878.9317575103. The cubic root of 1016266290 is about 1005.3929603622.

The spelling of 1016266290 in words is "one billion, sixteen million, two hundred sixty-six thousand, two hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 17 26 30 34 39 51 65 78 85 102 130 169 170 195 221 255 338 390 442 507 510 663 845 907 1014 1105 1326 1690 1814 2197 2210 2535 2721 2873 3315 4394 4535 5070 5442 5746 6591 6630 8619 9070 10985 11791 13182 13605 14365 15419 17238 21970 23582 27210 28730 30838 32955 35373 37349 43095 46257 58955 65910 70746 74698 77095 86190 92514 112047 117910 153283 154190 176865 186745 200447 224094 231285 306566 353730 373490 400894 459849 462570 560235 601341 766415 919698 1002235 1120470 1202682 1532830 1992679 2004470 2299245 2605811 3006705 3985358 4598490 5211622 5978037 6013410 7817433 9963395 11956074 13029055 15634866 19926790 26058110 29890185 33875543 39087165 59780370 67751086 78174330 101626629 169377715 203253258 338755430 508133145 1016266290