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806350680 = 23335898389
BaseRepresentation
bin110000000011111…
…110111101011000
32002012021212012000
4300003332331120
53122411210210
6212002521000
725660603422
oct6003767530
92065255160
10806350680
11384189223
121a6066160
13cb0976a5
147913d812
154abcdac0
hex300fef58

806350680 has 128 divisors (see below), whose sum is σ = 2718360000. Its totient is φ = 212585472.

The previous prime is 806350679. The next prime is 806350723. The reversal of 806350680 is 86053608.

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

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, 91926 + ... + 100314.

Almost surely, 2806350680 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 806350680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1359180000).

806350680 is an abundant number, since it is smaller than the sum of its proper divisors (1912009320).

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

806350680 is a wasteful number, since it uses less digits than its factorization.

806350680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8498 (or 8488 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 806350680 is about 28396.3145496031. The cubic root of 806350680 is about 930.7677323334.

The spelling of 806350680 in words is "eight hundred six million, three hundred fifty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 89 90 108 120 135 178 180 216 267 270 356 360 445 534 540 712 801 890 1068 1080 1335 1602 1780 2136 2403 2670 3204 3560 4005 4806 5340 6408 8010 8389 9612 10680 12015 16020 16778 19224 24030 25167 32040 33556 41945 48060 50334 67112 75501 83890 96120 100668 125835 151002 167780 201336 226503 251670 302004 335560 377505 453006 503340 604008 746621 755010 906012 1006680 1132515 1493242 1510020 1812024 2239863 2265030 2986484 3020040 3733105 4479726 4530060 5972968 6719589 7466210 8959452 9060120 11199315 13439178 14932420 17918904 20158767 22398630 26878356 29864840 33597945 40317534 44797260 53756712 67195890 80635068 89594520 100793835 134391780 161270136 201587670 268783560 403175340 806350680