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266116640 = 25517227431
BaseRepresentation
bin11111101110010…
…01111000100000
3200112202010101212
433313021320200
51021111213030
642223445252
76410645156
oct1767117040
9615663355
10266116640
11127241409
1275156828
134319638a
14274b33d6
1518569595
hexfdc9e20

266116640 has 96 divisors (see below), whose sum is σ = 670166784. Its totient is φ = 99512320.

The previous prime is 266116639. The next prime is 266116661. The reversal of 266116640 is 46611662.

266116640 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 (32).

It is a junction number, because it is equal to n+sod(n) for n = 266116597 and 266116606.

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, 617225 + ... + 617655.

It is an arithmetic number, because the mean of its divisors is an integer number (6980904).

Almost surely, 2266116640 is an apocalyptic number.

266116640 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 266116640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335083392).

266116640 is an abundant number, since it is smaller than the sum of its proper divisors (404050144).

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

266116640 is a wasteful number, since it uses less digits than its factorization.

266116640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 266116640 is about 16313.0818670170. The cubic root of 266116640 is about 643.2167477055.

The spelling of 266116640 in words is "two hundred sixty-six million, one hundred sixteen thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 227 272 340 431 454 544 680 862 908 1135 1360 1724 1816 2155 2270 2720 3448 3632 3859 4310 4540 6896 7264 7327 7718 8620 9080 13792 14654 15436 17240 18160 19295 29308 30872 34480 36320 36635 38590 58616 61744 68960 73270 77180 97837 117232 123488 146540 154360 195674 234464 293080 308720 391348 489185 586160 617440 782696 978370 1172320 1565392 1663229 1956740 3130784 3326458 3913480 6652916 7826960 8316145 13305832 15653920 16632290 26611664 33264580 53223328 66529160 133058320 266116640