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8060680440 = 2333573102241
BaseRepresentation
bin1111000000111010…
…00011100011111000
3202210202120222211000
413200131003203320
5113002013233230
63411504205000
7403515440031
oct74035034370
922722528730
108060680440
11346705357a
12168b609760
139b5c9a9c7
14566781a88
153229d4b60
hex1e07438f8

8060680440 has 128 divisors (see below), whose sum is σ = 27237268800. Its totient is φ = 2120048640.

The previous prime is 8060680409. The next prime is 8060680489. The reversal of 8060680440 is 440860608.

8060680440 is a `hidden beast` number, since 8 + 0 + 606 + 8 + 0 + 4 + 40 = 666.

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 = 8060680395 and 8060680404.

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, 27720 + ... + 129960.

Almost surely, 28060680440 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 8060680440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13618634400).

8060680440 is an abundant number, since it is smaller than the sum of its proper divisors (19176588360).

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

8060680440 is a wasteful number, since it uses less digits than its factorization.

8060680440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102334 (or 102324 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 8060680440 is about 89781.2922606932. The cubic root of 8060680440 is about 2005.0439718136.

The spelling of 8060680440 in words is "eight billion, sixty million, six hundred eighty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 73 90 108 120 135 146 180 216 219 270 292 360 365 438 540 584 657 730 876 1080 1095 1314 1460 1752 1971 2190 2628 2920 3285 3942 4380 5256 6570 7884 8760 9855 13140 15768 19710 26280 39420 78840 102241 204482 306723 408964 511205 613446 817928 920169 1022410 1226892 1533615 1840338 2044820 2453784 2760507 3067230 3680676 4089640 4600845 5521014 6134460 7361352 7463593 9201690 11042028 12268920 13802535 14927186 18403380 22084056 22390779 27605070 29854372 36806760 37317965 44781558 55210140 59708744 67172337 74635930 89563116 110420280 111953895 134344674 149271860 179126232 201517011 223907790 268689348 298543720 335861685 403034022 447815580 537378696 671723370 806068044 895631160 1007585055 1343446740 1612136088 2015170110 2686893480 4030340220 8060680440