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68816136 = 233171511117
BaseRepresentation
bin1000001101000…
…00110100001000
311210111012222210
410012200310020
5120104104021
610454545120
71463633064
oct406406410
9153435883
1068816136
1135932644
121b0681a0
1311345a0c
1491d4aa4
156094e76
hex41a0d08

68816136 has 64 divisors (see below), whose sum is σ = 183530880. Its totient is φ = 21427200.

The previous prime is 68816117. The next prime is 68816149. The reversal of 68816136 is 63161886.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 68816094 and 68816103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61050 + ... + 62166.

It is an arithmetic number, because the mean of its divisors is an integer number (2867670).

Almost surely, 268816136 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 68816136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91765440).

68816136 is an abundant number, since it is smaller than the sum of its proper divisors (114714744).

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

68816136 is a wasteful number, since it uses less digits than its factorization.

68816136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1294 (or 1290 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 68816136 is about 8295.5491680780. The cubic root of 68816136 is about 409.7919547315.

The spelling of 68816136 in words is "sixty-eight million, eight hundred sixteen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 151 204 302 408 453 604 906 1117 1208 1812 2234 2567 3351 3624 4468 5134 6702 7701 8936 10268 13404 15402 18989 20536 26808 30804 37978 56967 61608 75956 113934 151912 168667 227868 337334 455736 506001 674668 1012002 1349336 2024004 2867339 4048008 5734678 8602017 11469356 17204034 22938712 34408068 68816136