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68100186 = 23711223661
BaseRepresentation
bin1000000111100…
…10000001011010
311202010211220010
410003302001122
5114413201221
610431342350
71454561550
oct403620132
9152124803
1068100186
1135493750
121a9819b6
1311154b8b
149089bd0
155ea2c76
hex40f205a

68100186 has 64 divisors (see below), whose sum is σ = 170827776. Its totient is φ = 17582400.

The previous prime is 68100169. The next prime is 68100187.

68100186 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (68100187) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102696 + ... + 103356.

It is an arithmetic number, because the mean of its divisors is an integer number (2669184).

Almost surely, 268100186 is an apocalyptic number.

68100186 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 68100186, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85413888).

68100186 is an abundant number, since it is smaller than the sum of its proper divisors (102727590).

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

68100186 is a wasteful number, since it uses less digits than its factorization.

68100186 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 907.

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 68100186 is about 8252.2836839265. The cubic root of 68100186 is about 408.3658651114.

It can be divided in two parts, 68100 and 186, that added together give a palindrome (68286).

The spelling of 68100186 in words is "sixty-eight million, one hundred thousand, one hundred eighty-six".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 223 231 446 462 661 669 1322 1338 1561 1983 2453 3122 3966 4627 4683 4906 7271 7359 9254 9366 13881 14542 14718 17171 21813 27762 34342 43626 50897 51513 101794 103026 147403 152691 294806 305382 442209 884418 1031821 1621433 2063642 3095463 3242866 4864299 6190926 9728598 11350031 22700062 34050093 68100186