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810233940 = 2235174716901
BaseRepresentation
bin110000010010110…
…011000001010100
32002110121011000110
4300102303001110
53124404441230
6212222043020
726035606035
oct6022630124
92073534013
10810233940
113863a082a
121a7419470
13cbb27089
1479870a8c
154b1e94b0
hex304b3054

810233940 has 96 divisors (see below), whose sum is σ = 2453359104. Its totient is φ = 199014400.

The previous prime is 810233939. The next prime is 810233953. The reversal of 810233940 is 49332018.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 810233898 and 810233907.

It is a congruent number.

It is an unprimeable number.

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, 39490 + ... + 56390.

It is an arithmetic number, because the mean of its divisors is an integer number (25555824).

Almost surely, 2810233940 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 810233940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1226679552).

810233940 is an abundant number, since it is smaller than the sum of its proper divisors (1643125164).

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

810233940 is a wasteful number, since it uses less digits than its factorization.

810233940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16977 (or 16975 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 810233940 is about 28464.6085516734. The cubic root of 810233940 is about 932.2594846261.

Adding to 810233940 its reverse (49332018), we get a palindrome (859565958).

The spelling of 810233940 in words is "eight hundred ten million, two hundred thirty-three thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 47 51 60 68 85 94 102 141 170 188 204 235 255 282 340 470 510 564 705 799 940 1020 1410 1598 2397 2820 3196 3995 4794 7990 9588 11985 15980 16901 23970 33802 47940 50703 67604 84505 101406 169010 202812 253515 287317 338020 507030 574634 794347 861951 1014060 1149268 1436585 1588694 1723902 2383041 2873170 3177388 3447804 3971735 4309755 4766082 5746340 7943470 8619510 9532164 11915205 13503899 15886940 17239020 23830410 27007798 40511697 47660820 54015596 67519495 81023394 135038990 162046788 202558485 270077980 405116970 810233940