Search a number
-
+
266128896 = 2931119829
BaseRepresentation
bin11111101110011…
…00111000000000
3200112202202012210
433313030320000
51021112111041
642224022120
76411025665
oct1767147000
9615682183
10266128896
1112724a640
1275161940
134319bb27
14274b7a6c
151856d016
hexfdcce00

266128896 has 160 divisors (see below), whose sum is σ = 815126400. Its totient is φ = 76308480.

The previous prime is 266128843. The next prime is 266128921. The reversal of 266128896 is 698821662.

It is a happy number.

266128896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (497664) is a multiple of the sum of its prime divisors (864).

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, 320610 + ... + 321438.

It is an arithmetic number, because the mean of its divisors is an integer number (5094540).

Almost surely, 2266128896 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 266128896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407563200).

266128896 is an abundant number, since it is smaller than the sum of its proper divisors (548997504).

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

266128896 is a wasteful number, since it uses less digits than its factorization.

266128896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880 (or 864 counting only the distinct ones).

The product of its digits is 497664, while the sum is 48.

The square root of 266128896 is about 16313.4575121278. The cubic root of 266128896 is about 643.2266220015.

The spelling of 266128896 in words is "two hundred sixty-six million, one hundred twenty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 64 66 76 88 96 114 128 132 152 176 192 209 228 256 264 304 352 384 418 456 512 528 608 627 704 768 829 836 912 1056 1216 1254 1408 1536 1658 1672 1824 2112 2432 2487 2508 2816 3316 3344 3648 4224 4864 4974 5016 5632 6632 6688 7296 8448 9119 9728 9948 10032 13264 13376 14592 15751 16896 18238 19896 20064 26528 26752 27357 29184 31502 36476 39792 40128 47253 53056 53504 54714 63004 72952 79584 80256 94506 106112 107008 109428 126008 145904 159168 160512 173261 189012 212224 218856 252016 291808 318336 321024 346522 378024 424448 437712 504032 519783 583616 636672 693044 756048 875424 1008064 1039566 1167232 1273344 1386088 1512096 1750848 2016128 2079132 2334464 2772176 3024192 3501696 4032256 4158264 4668928 5544352 6048384 7003392 8064512 8316528 11088704 12096768 14006784 16633056 22177408 24193536 33266112 44354816 66532224 88709632 133064448 266128896