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68171136 = 2731116139
BaseRepresentation
bin1000001000000…
…11010110000000
311202021110012220
410010003112000
5114422434021
610433051040
71455305445
oct404032600
9152243186
1068171136
1135531a90
121a9b6a80
131117b267
1490a79cc
155eb8cc6
hex4103580

68171136 has 64 divisors (see below), whose sum is σ = 197553600. Its totient is φ = 20656640.

The previous prime is 68171113. The next prime is 68171143. The reversal of 68171136 is 63117186.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 68171097 and 68171106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3846 + ... + 12293.

It is an arithmetic number, because the mean of its divisors is an integer number (3086775).

Almost surely, 268171136 is an apocalyptic number.

68171136 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

68171136 is an abundant number, since it is smaller than the sum of its proper divisors (129382464).

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

68171136 is a wasteful number, since it uses less digits than its factorization.

68171136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16167 (or 16155 counting only the distinct ones).

The product of its digits is 6048, while the sum is 33.

The square root of 68171136 is about 8256.5813748791. The cubic root of 68171136 is about 408.5076341904.

It can be divided in two parts, 681 and 71136, that added together give a palindrome (71817).

The spelling of 68171136 in words is "sixty-eight million, one hundred seventy-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 16139 32278 48417 64556 96834 129112 177529 193668 258224 355058 387336 516448 532587 710116 774672 1032896 1065174 1420232 1549344 2065792 2130348 2840464 3098688 4260696 5680928 6197376 8521392 11361856 17042784 22723712 34085568 68171136