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665440440 = 233575314947
BaseRepresentation
bin100111101010011…
…101000010111000
31201101010212200020
4213222131002320
52330323043230
6150010410440
722330102410
oct4752350270
91641125606
10665440440
11311695285
12166a30a20
13a7b2bc52
146453d640
153d647810
hex27a9d0b8

665440440 has 128 divisors (see below), whose sum is σ = 2324712960. Its totient is φ = 149220864.

The previous prime is 665440423. The next prime is 665440453. The reversal of 665440440 is 44044566.

665440440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37047 + ... + 51993.

It is an arithmetic number, because the mean of its divisors is an integer number (18161820).

Almost surely, 2665440440 is an apocalyptic number.

665440440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 665440440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1162356480).

665440440 is an abundant number, since it is smaller than the sum of its proper divisors (1659272520).

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

665440440 is a wasteful number, since it uses less digits than its factorization.

665440440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15021 (or 15017 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

The square root of 665440440 is about 25796.1322682297. The cubic root of 665440440 is about 873.0445321838.

The spelling of 665440440 in words is "six hundred sixty-five million, four hundred forty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 53 56 60 70 84 105 106 120 140 159 168 210 212 265 280 318 371 420 424 530 636 742 795 840 1060 1113 1272 1484 1590 1855 2120 2226 2968 3180 3710 4452 5565 6360 7420 8904 11130 14840 14947 22260 29894 44520 44841 59788 74735 89682 104629 119576 149470 179364 209258 224205 298940 313887 358728 418516 448410 523145 597880 627774 792191 837032 896820 1046290 1255548 1569435 1584382 1793640 2092580 2376573 2511096 3138870 3168764 3960955 4185160 4753146 5545337 6277740 6337528 7921910 9506292 11090674 11882865 12555480 15843820 16636011 19012584 22181348 23765730 27726685 31687640 33272022 44362696 47531460 55453370 66544044 83180055 95062920 110906740 133088088 166360110 221813480 332720220 665440440