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842073000 = 23353299679
BaseRepresentation
bin110010001100010…
…000001110101000
32011200111201222220
4302030100032220
53211032314000
6215320314040
726603334216
oct6214201650
92150451886
10842073000
113a23679aa
121b6012920
131055c4162
147db9bcb6
154ddd81a0
hex323103a8

842073000 has 128 divisors (see below), whose sum is σ = 2718144000. Its totient is φ = 216787200.

The previous prime is 842072939. The next prime is 842073007. The reversal of 842073000 is 370248.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (842073007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82161 + ... + 91839.

It is an arithmetic number, because the mean of its divisors is an integer number (21235500).

Almost surely, 2842073000 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 842073000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1359072000).

842073000 is an abundant number, since it is smaller than the sum of its proper divisors (1876071000).

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

842073000 is a wasteful number, since it uses less digits than its factorization.

842073000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9732 (or 9718 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 842073000 is about 29018.4941028993. The cubic root of 842073000 is about 944.3143314284.

The spelling of 842073000 in words is "eight hundred forty-two million, seventy-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 29 30 40 50 58 60 75 87 100 116 120 125 145 150 174 200 232 250 290 300 348 375 435 500 580 600 696 725 750 870 1000 1160 1450 1500 1740 2175 2900 3000 3480 3625 4350 5800 7250 8700 9679 10875 14500 17400 19358 21750 29000 29037 38716 43500 48395 58074 77432 87000 96790 116148 145185 193580 232296 241975 280691 290370 387160 483950 561382 580740 725925 842073 967900 1122764 1161480 1209875 1403455 1451850 1684146 1935800 2245528 2419750 2806910 2903700 3368292 3629625 4210365 4839500 5613820 5807400 6736584 7017275 7259250 8420730 9679000 11227640 14034550 14518500 16841460 21051825 28069100 29037000 33682920 35086375 42103650 56138200 70172750 84207300 105259125 140345500 168414600 210518250 280691000 421036500 842073000