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8230903040 = 285103149419
BaseRepresentation
bin1111010101001100…
…11001110100000000
3210020121220012022202
413222212121310000
5113324102344130
63440424452332
7410653343603
oct75246316400
923217805282
108230903040
113544148308
12171861a0a8
13a1232a439
1458121233a
1533290b145
hex1ea999d00

8230903040 has 144 divisors (see below), whose sum is σ = 20088432000. Its totient is φ = 3230785536.

The previous prime is 8230903019. The next prime is 8230903049. The reversal of 8230903040 is 403090328.

It is a junction number, because it is equal to n+sod(n) for n = 8230902994 and 8230903012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8230903049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19643951 + ... + 19644369.

It is an arithmetic number, because the mean of its divisors is an integer number (139503000).

Almost surely, 28230903040 is an apocalyptic number.

8230903040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8230903040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10044216000).

8230903040 is an abundant number, since it is smaller than the sum of its proper divisors (11857528960).

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

8230903040 is a wasteful number, since it uses less digits than its factorization.

8230903040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 8230903040 is about 90724.3244119238. The cubic root of 8230903040 is about 2019.0597067995.

Adding to 8230903040 its reverse (403090328), we get a palindrome (8633993368).

The spelling of 8230903040 in words is "eight billion, two hundred thirty million, nine hundred three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 103 128 149 160 206 256 298 320 412 419 515 596 640 745 824 838 1030 1192 1280 1490 1648 1676 2060 2095 2384 2980 3296 3352 4120 4190 4768 5960 6592 6704 8240 8380 9536 11920 13184 13408 15347 16480 16760 19072 23840 26368 26816 30694 32960 33520 38144 43157 47680 53632 61388 62431 65920 67040 76735 86314 95360 107264 122776 124862 131840 134080 153470 172628 190720 215785 245552 249724 268160 306940 312155 345256 431570 491104 499448 536320 613880 624310 690512 863140 982208 998896 1227760 1248620 1381024 1726280 1964416 1997792 2455520 2497240 2762048 3452560 3928832 3995584 4911040 4994480 5524096 6430393 6905120 7991168 9822080 9988960 11048192 12860786 13810240 15982336 19644160 19977920 25721572 27620480 32151965 39955840 51443144 55240960 64303930 79911680 102886288 128607860 205772576 257215720 411545152 514431440 823090304 1028862880 1646180608 2057725760 4115451520 8230903040