Search a number
-
+
841000000 = 2656292
BaseRepresentation
bin110010001000001…
…010010001000000
32011121111020010011
4302020022101000
53210244000000
6215241314304
726561245021
oct6210122100
92147436104
10841000000
113a17a4825
121b5795994
13105309949
147d99cc48
154dc752ba
hex3220a440

841000000 has 147 divisors (see below), whose sum is σ = 2160460627. Its totient is φ = 324800000.

The previous prime is 840999989. The next prime is 841000001. The reversal of 841000000 is 148.

The square root of 841000000 is 29000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 10 ways, for example, as 712676416 + 128323584 = 26696^2 + 11328^2 .

It is a Duffinian number.

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (841000001) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 28999986 + ... + 29000014.

Almost surely, 2841000000 is an apocalyptic number.

841000000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

841000000 is the 29000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 841000000

841000000 is an abundant number, since it is smaller than the sum of its proper divisors (1319460627).

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

841000000 is an frugal number, since it uses more digits than its factorization.

841000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The cubic root of 841000000 is about 943.9130677392.

Adding to 841000000 its reverse (148), we get a palindrome (841000148).

The spelling of 841000000 in words is "eight hundred forty-one million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 64 80 100 116 125 145 160 200 232 250 290 320 400 464 500 580 625 725 800 841 928 1000 1160 1250 1450 1600 1682 1856 2000 2320 2500 2900 3125 3364 3625 4000 4205 4640 5000 5800 6250 6728 7250 8000 8410 9280 10000 11600 12500 13456 14500 15625 16820 18125 20000 21025 23200 25000 26912 29000 31250 33640 36250 40000 42050 46400 50000 53824 58000 62500 67280 72500 84100 90625 100000 105125 116000 125000 134560 145000 168200 181250 200000 210250 232000 250000 269120 290000 336400 362500 420500 453125 500000 525625 580000 672800 725000 841000 906250 1000000 1051250 1160000 1345600 1450000 1682000 1812500 2102500 2628125 2900000 3364000 3625000 4205000 5256250 5800000 6728000 7250000 8410000 10512500 13140625 14500000 16820000 21025000 26281250 29000000 33640000 42050000 52562500 84100000 105125000 168200000 210250000 420500000 841000000