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868620096 = 26324136781
BaseRepresentation
bin110011110001100…
…001011101000000
32020112110110202200
4303301201131000
53234331320341
6222105313200
730345102051
oct6361413500
92215413680
10868620096
1140634a153
12202a95800
1310ac5a5b6
148350c728
15513cddb6
hex33c61740

868620096 has 84 divisors (see below), whose sum is σ = 2550537444. Its totient is φ = 282470400.

The previous prime is 868620091. The next prime is 868620097. The reversal of 868620096 is 690026868.

It can be written as a sum of positive squares in 2 ways, for example, as 19713600 + 848906496 = 4440^2 + 29136^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (868620091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5226 + ... + 42006.

It is an arithmetic number, because the mean of its divisors is an integer number (30363541).

Almost surely, 2868620096 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 868620096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1275268722).

868620096 is an abundant number, since it is smaller than the sum of its proper divisors (1681917348).

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

868620096 is a wasteful number, since it uses less digits than its factorization.

868620096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36840 (or 36827 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 868620096 is about 29472.3615613001. The cubic root of 868620096 is about 954.1352866433.

It can be divided in two parts, 8686 and 20096, that added together give a palindrome (28782).

The spelling of 868620096 in words is "eight hundred sixty-eight million, six hundred twenty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 64 72 82 96 123 144 164 192 246 288 328 369 492 576 656 738 984 1312 1476 1968 2624 2952 3936 5904 7872 11808 23616 36781 73562 110343 147124 220686 294248 331029 441372 588496 662058 882744 1176992 1324116 1508021 1765488 2353984 2648232 3016042 3530976 4524063 5296464 6032084 7061952 9048126 10592928 12064168 13572189 18096252 21185856 24128336 27144378 36192504 48256672 54288756 72385008 96513344 108577512 144770016 217155024 289540032 434310048 868620096