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8059981140 = 223454975297
BaseRepresentation
bin1111000000110100…
…11000110101010100
3202210201021110120000
413200122120311110
5113001323344030
63411441211300
7403506465201
oct74032306524
922721243500
108059981140
113466716142
12168b330b30
139b5ab4613
1456663cca8
153228e7860
hex1e0698d54

8059981140 has 60 divisors (see below), whose sum is σ = 25284464436. Its totient is φ = 2149327872.

The previous prime is 8059981109. The next prime is 8059981147. The reversal of 8059981140 is 411899508.

8059981140 is a `hidden beast` number, since 8 + 0 + 599 + 8 + 11 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5186592324 + 2873388816 = 72018^2 + 53604^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8059981147) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2486029 + ... + 2489268.

Almost surely, 28059981140 is an apocalyptic number.

It is an amenable number.

8059981140 is an abundant number, since it is smaller than the sum of its proper divisors (17224483296).

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

8059981140 is a wasteful number, since it uses less digits than its factorization.

8059981140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4975318 (or 4975307 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The square root of 8059981140 is about 89777.3977123418. The cubic root of 8059981140 is about 2004.9859879660.

The spelling of 8059981140 in words is "eight billion, fifty-nine million, nine hundred eighty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 4975297 9950594 14925891 19901188 24876485 29851782 44777673 49752970 59703564 74629455 89555346 99505940 134333019 149258910 179110692 223888365 268666038 298517820 402999057 447776730 537332076 671665095 805998114 895553460 1343330190 1611996228 2014995285 2686660380 4029990570 8059981140