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266671680 = 26351125253
BaseRepresentation
bin11111110010100…
…01011001000000
3200120210022202220
433321101121000
51021231443210
642243411040
76415446312
oct1771213100
9616708686
10266671680
11127590420
1275383a80
134332bbc2
14275b97b2
1518628c70
hexfe51640

266671680 has 112 divisors (see below), whose sum is σ = 923690304. Its totient is φ = 64645120.

The previous prime is 266671663. The next prime is 266671709. The reversal of 266671680 is 86176662.

It is a happy number.

It is a super-2 number, since 2×2666716802 = 142227569828044800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2067 + ... + 23186.

Almost surely, 2266671680 is an apocalyptic number.

266671680 is a gapful number since it is divisible by the number (20) 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 266671680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461845152).

266671680 is an abundant number, since it is smaller than the sum of its proper divisors (657018624).

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

266671680 is a wasteful number, since it uses less digits than its factorization.

266671680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25284 (or 25274 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 266671680 is about 16330.0851191903. The cubic root of 266671680 is about 643.6636233119.

The spelling of 266671680 in words is "two hundred sixty-six million, six hundred seventy-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 132 160 165 176 192 220 240 264 320 330 352 440 480 528 660 704 880 960 1056 1320 1760 2112 2640 3520 5280 10560 25253 50506 75759 101012 126265 151518 202024 252530 277783 303036 378795 404048 505060 555566 606072 757590 808096 833349 1010120 1111132 1212144 1388915 1515180 1616192 1666698 2020240 2222264 2424288 2777830 3030360 3333396 4040480 4166745 4444528 4848576 5555660 6060720 6666792 8080960 8333490 8889056 11111320 12121440 13333584 16666980 17778112 22222640 24242880 26667168 33333960 44445280 53334336 66667920 88890560 133335840 266671680