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68133186 = 232111013407
BaseRepresentation
bin1000000111110…
…10000101000010
311202012112011100
410003322011002
5114420230221
610432155230
71455060012
oct403720502
9152175140
1068133186
1135506520
121a998b16
1311166bc4
149097c42
155eac926
hex40fa142

68133186 has 48 divisors (see below), whose sum is σ = 162684288. Its totient is φ = 20436000.

The previous prime is 68133181. The next prime is 68133187.

68133186 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 68133186.

It is not an unprimeable number, because it can be changed into a prime (68133181) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18295 + ... + 21701.

It is an arithmetic number, because the mean of its divisors is an integer number (3389256).

Almost surely, 268133186 is an apocalyptic number.

68133186 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 68133186, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81342144).

68133186 is an abundant number, since it is smaller than the sum of its proper divisors (94551102).

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

68133186 is a wasteful number, since it uses less digits than its factorization.

68133186 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3527 (or 3524 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 68133186 is about 8254.2828882950. The cubic root of 68133186 is about 408.4318164603.

It can be divided in two parts, 6813 and 3186, that added together give a palindrome (9999).

The spelling of 68133186 in words is "sixty-eight million, one hundred thirty-three thousand, one hundred eighty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 101 198 202 303 606 909 1111 1818 2222 3333 3407 6666 6814 9999 10221 19998 20442 30663 37477 61326 74954 112431 224862 337293 344107 674586 688214 1032321 2064642 3096963 3785177 6193926 7570354 11355531 22711062 34066593 68133186