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806946840 = 233357106739
BaseRepresentation
bin110000000110010…
…000100000011000
32002020102010222000
4300012100200120
53123034244330
6212023401000
725665635460
oct6006204030
92066363860
10806946840
11384556117
121a62b3160
13cb245b4b
1479256ba0
154ac9a560
hex30190818

806946840 has 128 divisors (see below), whose sum is σ = 3074112000. Its totient is φ = 184443264.

The previous prime is 806946827. The next prime is 806946859. The reversal of 806946840 is 48649608.

It is a happy number.

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

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, 45810 + ... + 60929.

It is an arithmetic number, because the mean of its divisors is an integer number (24016500).

Almost surely, 2806946840 is an apocalyptic number.

It is an amenable number.

806946840 is an abundant number, since it is smaller than the sum of its proper divisors (2267165160).

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

806946840 is a wasteful number, since it uses less digits than its factorization.

806946840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106766 (or 106756 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 806946840 is about 28406.8097469603. The cubic root of 806946840 is about 930.9970576187.

The spelling of 806946840 in words is "eight hundred six million, nine hundred forty-six thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 84 90 105 108 120 126 135 140 168 180 189 210 216 252 270 280 315 360 378 420 504 540 630 756 840 945 1080 1260 1512 1890 2520 3780 7560 106739 213478 320217 426956 533695 640434 747173 853912 960651 1067390 1280868 1494346 1601085 1921302 2134780 2241519 2561736 2881953 2988692 3202170 3735865 3842604 4269560 4483038 4803255 5763906 5977384 6404340 6724557 7471730 7685208 8966076 9606510 11207595 11527812 12808680 13449114 14409765 14943460 17932152 19213020 20173671 22415190 23055624 26898228 28819530 29886920 33622785 38426040 40347342 44830380 53796456 57639060 67245570 80694684 89660760 100868355 115278120 134491140 161389368 201736710 268982280 403473420 806946840