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266027940 = 2232510114633
BaseRepresentation
bin11111101101101…
…00001110100100
3200112120121201200
433312310032210
51021100343230
642221522500
76410125443
oct1766641644
9615517650
10266027940
11127190802
1275113430
1343164ba9
142748cd5a
151854d160
hexfdb43a4

266027940 has 72 divisors (see below), whose sum is σ = 814996728. Its totient is φ = 70233600.

The previous prime is 266027939. The next prime is 266027941. The reversal of 266027940 is 49720662.

It is a happy number.

266027940 is a `hidden beast` number, since 2 + 6 + 602 + 7 + 9 + 40 = 666.

266027940 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (266027939) and next prime (266027941).

It can be written as a sum of positive squares in 4 ways, for example, as 16451136 + 249576804 = 4056^2 + 15798^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 266027895 and 266027904.

It is not an unprimeable number, because it can be changed into a prime (266027941) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10864 + ... + 25496.

It is an arithmetic number, because the mean of its divisors is an integer number (11319399).

Almost surely, 2266027940 is an apocalyptic number.

266027940 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 266027940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407498364).

266027940 is an abundant number, since it is smaller than the sum of its proper divisors (548968788).

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

266027940 is a wasteful number, since it uses less digits than its factorization.

266027940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14749 (or 14744 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 266027940 is about 16310.3629634659. The cubic root of 266027940 is about 643.1452757054.

The spelling of 266027940 in words is "two hundred sixty-six million, twenty-seven thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 101 180 202 303 404 505 606 909 1010 1212 1515 1818 2020 3030 3636 4545 6060 9090 14633 18180 29266 43899 58532 73165 87798 131697 146330 175596 219495 263394 292660 438990 526788 658485 877980 1316970 1477933 2633940 2955866 4433799 5911732 7389665 8867598 13301397 14779330 17735196 22168995 26602794 29558660 44337990 53205588 66506985 88675980 133013970 266027940