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666880000 = 21154521
BaseRepresentation
bin100111101111111…
…100100000000000
31201110212000101021
4213233330200000
52331210130000
6150101315224
722345246363
oct4757744000
91643760337
10666880000
113124888a6
12167405b14
13a8214267
14647d60da
153d82e11a
hex27bfc800

666880000 has 120 divisors (see below), whose sum is σ = 1669457790. Its totient is φ = 266240000.

The previous prime is 666879959. The next prime is 666880007. The reversal of 666880000 is 88666.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 1024 + 666878976 = 32^2 + 25824^2 .

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (666880007) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1279740 + ... + 1280260.

Almost surely, 2666880000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 666880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834728895).

666880000 is an abundant number, since it is smaller than the sum of its proper divisors (1002577790).

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

666880000 is an frugal number, since it uses more digits than its factorization.

666880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 666880000 is about 25824.0198265104. The cubic root of 666880000 is about 873.6736367149.

It can be divided in two parts, 6668 and 80000, that added together give a palindrome (86668).

The spelling of 666880000 in words is "six hundred sixty-six million, eight hundred eighty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 521 625 640 800 1000 1024 1042 1250 1280 1600 2000 2048 2084 2500 2560 2605 3200 4000 4168 5000 5120 5210 6400 8000 8336 10000 10240 10420 12800 13025 16000 16672 20000 20840 25600 26050 32000 33344 40000 41680 51200 52100 64000 65125 66688 80000 83360 104200 128000 130250 133376 160000 166720 208400 256000 260500 266752 320000 325625 333440 416800 521000 533504 640000 651250 666880 833600 1042000 1067008 1280000 1302500 1333760 1667200 2084000 2605000 2667520 3334400 4168000 5210000 5335040 6668800 8336000 10420000 13337600 16672000 20840000 26675200 33344000 41680000 66688000 83360000 133376000 166720000 333440000 666880000