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10868004 = 22327261101
BaseRepresentation
bin101001011101…
…010100100100
3202110011002200
4221131110210
510240234004
61024534500
7161243100
oct51352444
922404080
1010868004
116153324
123781430
132336994
14162c900
15e4a239
hexa5d524

10868004 has 108 divisors (see below), whose sum is σ = 32802588. Its totient is φ = 3024000.

The previous prime is 10867991. The next prime is 10868009. The reversal of 10868004 is 40086801.

It can be written as a sum of positive squares in 2 ways, for example, as 5336100 + 5531904 = 2310^2 + 2352^2 .

It is a super-2 number, since 2×108680042 = 236227021888032, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10868009) 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 35 ways as a sum of consecutive naturals, for example, 107554 + ... + 107654.

Almost surely, 210868004 is an apocalyptic number.

10868004 is a gapful number since it is divisible by the number (14) 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 10868004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16401294).

10868004 is an abundant number, since it is smaller than the sum of its proper divisors (21934584).

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

10868004 is a wasteful number, since it uses less digits than its factorization.

10868004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 10868004 is about 3296.6655881360. The cubic root of 10868004 is about 221.5048619138.

The spelling of 10868004 in words is "ten million, eight hundred sixty-eight thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 61 63 84 98 101 122 126 147 183 196 202 244 252 294 303 366 404 427 441 549 588 606 707 732 854 882 909 1098 1212 1281 1414 1708 1764 1818 2121 2196 2562 2828 2989 3636 3843 4242 4949 5124 5978 6161 6363 7686 8484 8967 9898 11956 12322 12726 14847 15372 17934 18483 19796 24644 25452 26901 29694 35868 36966 43127 44541 53802 55449 59388 73932 86254 89082 107604 110898 129381 172508 178164 221796 258762 301889 388143 517524 603778 776286 905667 1207556 1552572 1811334 2717001 3622668 5434002 10868004