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266331540 = 2235313149
BaseRepresentation
bin11111101111111…
…10010110010100
3200120011001012010
433313332112110
51021140102130
642232224220
76412531536
oct1767762624
9616131163
10266331540
11127378912
127523b070
1343240137
142752b856
15185ad0b0
hexfdfe594

266331540 has 96 divisors (see below), whose sum is σ = 775756800. Its totient is φ = 68269440.

The previous prime is 266331539. The next prime is 266331547. The reversal of 266331540 is 45133662.

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 = 266331498 and 266331507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (266331547) 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, 1787386 + ... + 1787534.

It is an arithmetic number, because the mean of its divisors is an integer number (8080800).

Almost surely, 2266331540 is an apocalyptic number.

266331540 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 266331540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387878400).

266331540 is an abundant number, since it is smaller than the sum of its proper divisors (509425260).

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

266331540 is a wasteful number, since it uses less digits than its factorization.

266331540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 266331540 is about 16319.6672760201. The cubic root of 266331540 is about 643.3898423401.

The spelling of 266331540 in words is "two hundred sixty-six million, three hundred thirty-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 149 155 186 298 310 372 447 465 596 620 745 894 930 961 1490 1788 1860 1922 2235 2883 2980 3844 4470 4619 4805 5766 8940 9238 9610 11532 13857 14415 18476 19220 23095 27714 28830 29791 46190 55428 57660 59582 69285 89373 92380 119164 138570 143189 148955 178746 277140 286378 297910 357492 429567 446865 572756 595820 715945 859134 893730 1431890 1718268 1787460 2147835 2863780 4295670 4438859 8591340 8877718 13316577 17755436 22194295 26633154 44388590 53266308 66582885 88777180 133165770 266331540