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666680070 = 235723831663
BaseRepresentation
bin100111101111001…
…011101100000110
31201110110212010110
4213233023230012
52331132230240
6150053133450
722343454450
oct4757135406
91643425113
10666680070
11312361671
1216732a286
13a8174264
14647832d0
153d7dec80
hex27bcbb06

666680070 has 128 divisors (see below), whose sum is σ = 1932263424. Its totient is φ = 143915904.

The previous prime is 666680033. The next prime is 666680071. The reversal of 666680070 is 70086666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (666680071) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 400059 + ... + 401721.

It is an arithmetic number, because the mean of its divisors is an integer number (15095808).

Almost surely, 2666680070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 666680070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (966131712).

666680070 is an abundant number, since it is smaller than the sum of its proper divisors (1265583354).

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

666680070 is a wasteful number, since it uses less digits than its factorization.

666680070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1786.

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 666680070 is about 25820.1485278455. The cubic root of 666680070 is about 873.5863191421.

It can be divided in two parts, 6666 and 80070, that added together give a triangular number (86736 = T416).

The spelling of 666680070 in words is "six hundred sixty-six million, six hundred eighty thousand, seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 23 30 35 42 46 69 70 83 105 115 138 161 166 210 230 249 322 345 415 483 498 581 690 805 830 966 1162 1245 1610 1663 1743 1909 2415 2490 2905 3326 3486 3818 4830 4989 5727 5810 8315 8715 9545 9978 11454 11641 13363 16630 17430 19090 23282 24945 26726 28635 34923 38249 40089 49890 57270 58205 66815 69846 76498 80178 114747 116410 133630 138029 174615 191245 200445 229494 267743 276058 349230 382490 400890 414087 535486 573735 690145 803229 828174 966203 1147470 1338715 1380290 1606458 1932406 2070435 2677430 2898609 3174667 4016145 4140870 4831015 5797218 6349334 8032290 9524001 9662030 14493045 15873335 19048002 22222669 28986090 31746670 44445338 47620005 66668007 95240010 111113345 133336014 222226690 333340035 666680070