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666989560 = 2351729149227
BaseRepresentation
bin100111110000010…
…111001111111000
31201111001120200001
4213300113033320
52331222131220
6150103522344
722346213656
oct4760271770
91644046601
10666989560
11312553146
121674593b4
13a82520a3
1464823dd6
153d85180a
hex27c173f8

666989560 has 128 divisors (see below), whose sum is σ = 1662120000. Its totient is φ = 239755264.

The previous prime is 666989551. The next prime is 666989567. The reversal of 666989560 is 65989666.

666989560 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (666989567) 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 31 ways as a sum of consecutive naturals, for example, 2938167 + ... + 2938393.

Almost surely, 2666989560 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 666989560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831060000).

666989560 is an abundant number, since it is smaller than the sum of its proper divisors (995130440).

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

666989560 is a wasteful number, since it uses less digits than its factorization.

666989560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 55.

The square root of 666989560 is about 25826.1410202918. The cubic root of 666989560 is about 873.7214786266.

The spelling of 666989560 in words is "six hundred sixty-six million, nine hundred eighty-nine thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 17 20 29 34 40 58 68 85 116 136 145 149 170 227 232 290 298 340 454 493 580 596 680 745 908 986 1135 1160 1192 1490 1816 1972 2270 2465 2533 2980 3859 3944 4321 4540 4930 5066 5960 6583 7718 8642 9080 9860 10132 12665 13166 15436 17284 19295 19720 20264 21605 25330 26332 30872 32915 33823 34568 38590 43210 50660 52664 65830 67646 73457 77180 86420 101320 111911 131660 135292 146914 154360 169115 172840 223822 263320 270584 293828 338230 367285 447644 559555 574991 587656 676460 734570 895288 980867 1119110 1149982 1352920 1469140 1961734 2238220 2299964 2874955 2938280 3923468 4476440 4599928 4904335 5749910 7846936 9808670 11499820 16674739 19617340 22999640 33349478 39234680 66698956 83373695 133397912 166747390 333494780 666989560