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266168064 = 2834179107
BaseRepresentation
bin11111101110101…
…10011100000000
3200112211201221110
433313112130000
51021114334224
642224523320
76411251121
oct1767263400
9615751843
10266168064
11127277008
1275180540
13431b38c6
14274c8048
1518579929
hexfdd6700

266168064 has 144 divisors (see below), whose sum is σ = 741726720. Its totient is φ = 84664320.

The previous prime is 266168059. The next prime is 266168083. The reversal of 266168064 is 460861662.

It is a congruent number.

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, 2487499 + ... + 2487605.

It is an arithmetic number, because the mean of its divisors is an integer number (5150880).

Almost surely, 2266168064 is an apocalyptic number.

266168064 is a gapful number since it is divisible by the number (24) 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 266168064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370863360).

266168064 is an abundant number, since it is smaller than the sum of its proper divisors (475558656).

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

266168064 is a wasteful number, since it uses less digits than its factorization.

266168064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 266168064 is about 16314.6579492185. The cubic root of 266168064 is about 643.2581764660.

The spelling of 266168064 in words is "two hundred sixty-six million, one hundred sixty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 79 82 96 107 123 128 158 164 192 214 237 246 256 316 321 328 384 428 474 492 632 642 656 768 856 948 984 1264 1284 1312 1712 1896 1968 2528 2568 2624 3239 3424 3792 3936 4387 5056 5136 5248 6478 6848 7584 7872 8453 8774 9717 10112 10272 10496 12956 13161 13696 15168 15744 16906 17548 19434 20224 20544 25359 25912 26322 27392 30336 31488 33812 35096 38868 41088 50718 51824 52644 60672 67624 70192 77736 82176 101436 103648 105288 135248 140384 155472 202872 207296 210576 270496 280768 310944 346573 405744 414592 421152 540992 561536 621888 693146 811488 829184 842304 1039719 1081984 1123072 1243776 1386292 1622976 1684608 2079438 2163968 2487552 2772584 3245952 3369216 4158876 5545168 6491904 8317752 11090336 16635504 22180672 33271008 44361344 66542016 88722688 133084032 266168064