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679145040 = 24335744917
BaseRepresentation
bin101000011110101…
…110111001010000
31202022221010212000
4220132232321100
52342330120130
6151220234000
722554431460
oct5036567120
91668833760
10679145040
113193a57a2
1216b53b900
13aa919a92
14662a9ba0
153e953260
hex287aee50

679145040 has 160 divisors (see below), whose sum is σ = 2673519360. Its totient is φ = 155229696.

The previous prime is 679145009. The next prime is 679145041. The reversal of 679145040 is 40541976.

679145040 is a `hidden beast` number, since 67 + 91 + 4 + 504 + 0 = 666.

679145040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×6791450402 = 922475970713203200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 679144986 and 679145004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (679145041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7339 + ... + 37578.

It is an arithmetic number, because the mean of its divisors is an integer number (16709496).

Almost surely, 2679145040 is an apocalyptic number.

679145040 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 679145040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1336759680).

679145040 is an abundant number, since it is smaller than the sum of its proper divisors (1994374320).

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

679145040 is a wasteful number, since it uses less digits than its factorization.

679145040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44946 (or 44934 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 679145040 is about 26060.4113551571. The cubic root of 679145040 is about 878.9972393302.

The spelling of 679145040 in words is "six hundred seventy-nine million, one hundred forty-five thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 35 36 40 42 45 48 54 56 60 63 70 72 80 84 90 105 108 112 120 126 135 140 144 168 180 189 210 216 240 252 270 280 315 336 360 378 420 432 504 540 560 630 720 756 840 945 1008 1080 1260 1512 1680 1890 2160 2520 3024 3780 5040 7560 15120 44917 89834 134751 179668 224585 269502 314419 359336 404253 449170 539004 628838 673755 718672 808506 898340 943257 1078008 1212759 1257676 1347510 1572095 1617012 1796680 1886514 2021265 2156016 2425518 2515352 2695020 2829771 3144190 3234024 3593360 3773028 4042530 4716285 4851036 5030704 5390040 5659542 6063795 6288380 6468048 7546056 8085060 8489313 9432570 9702072 10780080 11319084 12127590 12576760 14148855 15092112 16170120 16978626 18865140 19404144 22638168 24255180 25153520 28297710 32340240 33957252 37730280 42446565 45276336 48510360 56595420 67914504 75460560 84893130 97020720 113190840 135829008 169786260 226381680 339572520 679145040