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666516540 = 2235233111553
BaseRepresentation
bin100111101110100…
…011110000111100
31201110011112210210
4213232203300330
52331112012130
6150045432420
722342203624
oct4756436074
91643145723
10666516540
1131225a818
1216726b710
13a81179b1
146473d884
153d7ab5b0
hex27ba3c3c

666516540 has 96 divisors (see below), whose sum is σ = 1954907136. Its totient is φ = 169354240.

The previous prime is 666516533. The next prime is 666516553. The reversal of 666516540 is 45615666.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 428404 + ... + 429956.

It is an arithmetic number, because the mean of its divisors is an integer number (20363616).

Almost surely, 2666516540 is an apocalyptic number.

666516540 is a gapful number since it is divisible by the number (60) 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 666516540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (977453568).

666516540 is an abundant number, since it is smaller than the sum of its proper divisors (1288390596).

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

666516540 is a wasteful number, since it uses less digits than its factorization.

666516540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1899 (or 1897 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The square root of 666516540 is about 25816.9816206310. The cubic root of 666516540 is about 873.5148859519.

The spelling of 666516540 in words is "six hundred sixty-six million, five hundred sixteen thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 311 345 460 622 690 933 1244 1380 1553 1555 1866 3106 3110 3732 4659 4665 6212 6220 7153 7765 9318 9330 14306 15530 18636 18660 21459 23295 28612 31060 35719 35765 42918 46590 71438 71530 85836 93180 107157 107295 142876 143060 178595 214314 214590 357190 428628 429180 482983 535785 714380 965966 1071570 1448949 1931932 2143140 2414915 2897898 4829830 5795796 7244745 9659660 11108609 14489490 22217218 28978980 33325827 44434436 55543045 66651654 111086090 133303308 166629135 222172180 333258270 666516540