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669117306 = 2311132239251
BaseRepresentation
bin100111111000011…
…110101101111010
31201122001200101110
4213320132231322
52332243223211
6150221301150
722403255214
oct4770365572
91648050343
10669117306
11313776810
121681047b6
13a8818700
1464c195b4
153db21ea6
hex27e1eb7a

669117306 has 96 divisors (see below), whose sum is σ = 1593768960. Its totient is φ = 185640000.

The previous prime is 669117283. The next prime is 669117329. The reversal of 669117306 is 603711966.

It is an interprime number because it is at equal distance from previous prime (669117283) and next prime (669117329).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2665681 + ... + 2665931.

It is an arithmetic number, because the mean of its divisors is an integer number (16601760).

Almost surely, 2669117306 is an apocalyptic number.

669117306 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 669117306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796884480).

669117306 is an abundant number, since it is smaller than the sum of its proper divisors (924651654).

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

669117306 is a wasteful number, since it uses less digits than its factorization.

669117306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The square root of 669117306 is about 25867.3018693485. The cubic root of 669117306 is about 874.6495711312.

The spelling of 669117306 in words is "six hundred sixty-nine million, one hundred seventeen thousand, three hundred six".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 169 239 251 286 338 429 478 502 507 717 753 858 1014 1434 1506 1859 2629 2761 3107 3263 3718 5258 5522 5577 6214 6526 7887 8283 9321 9789 11154 15774 16566 18642 19578 34177 35893 40391 42419 59989 68354 71786 80782 84838 102531 107679 119978 121173 127257 179967 205062 215358 242346 254514 359934 444301 466609 659879 779857 888602 933218 1319758 1332903 1399827 1559714 1979637 2339571 2665806 2799654 3959274 4679142 8578427 10138141 17156854 20276282 25735281 30414423 51470562 60828846 111519551 223039102 334558653 669117306