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266145240 = 23356193583
BaseRepresentation
bin11111101110100…
…00110111011000
3200112210120122010
433313100313120
51021113121430
642224225520
76411124434
oct1767206730
9615716563
10266145240
11127260949
127516b2a0
13431a63ba
14274bd9c4
1518572cb0
hexfdd0dd8

266145240 has 64 divisors (see below), whose sum is σ = 799948800. Its totient is φ = 70837632.

The previous prime is 266145223. The next prime is 266145247. The reversal of 266145240 is 42541662.

266145240 is digitally balanced in base 3, 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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 266145198 and 266145207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (266145247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72489 + ... + 76071.

It is an arithmetic number, because the mean of its divisors is an integer number (12499200).

Almost surely, 2266145240 is an apocalyptic number.

266145240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

266145240 is an abundant number, since it is smaller than the sum of its proper divisors (533803560).

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

266145240 is a wasteful number, since it uses less digits than its factorization.

266145240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4216 (or 4212 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 266145240 is about 16313.9584405502. The cubic root of 266145240 is about 643.2397894063.

The spelling of 266145240 in words is "two hundred sixty-six million, one hundred forty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 619 1238 1857 2476 3095 3583 3714 4952 6190 7166 7428 9285 10749 12380 14332 14856 17915 18570 21498 24760 28664 35830 37140 42996 53745 71660 74280 85992 107490 143320 214980 429960 2217877 4435754 6653631 8871508 11089385 13307262 17743016 22178770 26614524 33268155 44357540 53229048 66536310 88715080 133072620 266145240