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666122560 = 26517122449
BaseRepresentation
bin100111101101000…
…011100101000000
31201102102112100221
4213231003211000
52331011410220
6150033152424
722335643165
oct4755034500
91642375327
10666122560
11312010814
121670bb714
13a800a57c
146467a06c
153d72e9aa
hex27b43940

666122560 has 56 divisors (see below), whose sum is σ = 1679524200. Its totient is φ = 250773504.

The previous prime is 666122551. The next prime is 666122563. The reversal of 666122560 is 65221666.

666122560 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 17707264 + 648415296 = 4208^2 + 25464^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (666122563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55785 + ... + 66664.

Almost surely, 2666122560 is an apocalyptic number.

It is an amenable number.

666122560 is an abundant number, since it is smaller than the sum of its proper divisors (1013401640).

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

666122560 is a wasteful number, since it uses less digits than its factorization.

666122560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122483 (or 122473 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 666122560 is about 25809.3502436617. The cubic root of 666122560 is about 873.3427395733.

The spelling of 666122560 in words is "six hundred sixty-six million, one hundred twenty-two thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 136 160 170 272 320 340 544 680 1088 1360 2720 5440 122449 244898 489796 612245 979592 1224490 1959184 2081633 2448980 3918368 4163266 4897960 7836736 8326532 9795920 10408165 16653064 19591840 20816330 33306128 39183680 41632660 66612256 83265320 133224512 166530640 333061280 666122560