Search a number
-
+
266027664 = 24372195953
BaseRepresentation
bin11111101101101…
…00001010010000
3200112120121100110
433312310022100
51021100341124
642221521320
76410124600
oct1766641220
9615517313
10266027664
11127190581
1275113240
1343164a26
142748cc00
151854d029
hexfdb4290

266027664 has 120 divisors (see below), whose sum is σ = 841657440. Its totient is φ = 71995392.

The previous prime is 266027659. The next prime is 266027711. The reversal of 266027664 is 466720662.

266027664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41712 + ... + 47664.

It is an arithmetic number, because the mean of its divisors is an integer number (7013812).

Almost surely, 2266027664 is an apocalyptic number.

266027664 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 266027664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420828720).

266027664 is an abundant number, since it is smaller than the sum of its proper divisors (575629776).

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

266027664 is a wasteful number, since it uses less digits than its factorization.

266027664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5997 (or 5984 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The square root of 266027664 is about 16310.3545025852. The cubic root of 266027664 is about 643.1450532874.

The spelling of 266027664 in words is "two hundred sixty-six million, twenty-seven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 49 56 57 76 84 98 112 114 133 147 152 168 196 228 266 294 304 336 392 399 456 532 588 784 798 912 931 1064 1176 1596 1862 2128 2352 2793 3192 3724 5586 5953 6384 7448 11172 11906 14896 17859 22344 23812 35718 41671 44688 47624 71436 83342 95248 113107 125013 142872 166684 226214 250026 285744 291697 333368 339321 452428 500052 583394 666736 678642 791749 875091 904856 1000104 1166788 1357284 1583498 1750182 1809712 2000208 2333576 2375247 2714568 3166996 3500364 4667152 4750494 5429136 5542243 6333992 7000728 9500988 11084486 12667984 14001456 16626729 19001976 22168972 33253458 38003952 44337944 66506916 88675888 133013832 266027664