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266661340 = 225116779229
BaseRepresentation
bin11111110010011…
…10110111011100
3200120202210120221
433321032313130
51021231130330
642243251124
76415404211
oct1771166734
9616683527
10266661340
11127583680
1275379aa4
134332729a
14275b5b08
1518625b7a
hexfe4eddc

266661340 has 96 divisors (see below), whose sum is σ = 630604800. Its totient is φ = 93899520.

The previous prime is 266661323. The next prime is 266661341. The reversal of 266661340 is 43166662.

It is a super-2 number, since 2×2666613402 = 142216540501191200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 266661296 and 266661305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (266661341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1164346 + ... + 1164574.

It is an arithmetic number, because the mean of its divisors is an integer number (6568800).

Almost surely, 2266661340 is an apocalyptic number.

266661340 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 266661340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315302400).

266661340 is an abundant number, since it is smaller than the sum of its proper divisors (363943460).

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

266661340 is a wasteful number, since it uses less digits than its factorization.

266661340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 34.

The square root of 266661340 is about 16329.7685225480. The cubic root of 266661340 is about 643.6553040084.

The spelling of 266661340 in words is "two hundred sixty-six million, six hundred sixty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 67 79 110 134 158 220 229 268 316 335 395 458 670 737 790 869 916 1145 1340 1474 1580 1738 2290 2519 2948 3476 3685 4345 4580 5038 5293 7370 8690 10076 10586 12595 14740 15343 17380 18091 21172 25190 26465 30686 36182 50380 52930 58223 61372 72364 76715 90455 105860 116446 153430 168773 180910 199001 232892 291115 306860 337546 361820 398002 582230 675092 796004 843865 995005 1164460 1212097 1687730 1990010 2424194 3375460 3980020 4848388 6060485 12120970 13333067 24241940 26666134 53332268 66665335 133330670 266661340