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78086106 = 236721093
BaseRepresentation
bin1001010011101…
…11111111011010
312102221012000000
410221313333122
5124442223411
611425353430
71635502200
oct451677732
9172835000
1078086106
114009427a
1222198876
13132401c7
14a529070
156cc6956
hex4a77fda

78086106 has 84 divisors (see below), whose sum is σ = 204471882. Its totient is φ = 22289904.

The previous prime is 78086093. The next prime is 78086111. The reversal of 78086106 is 60168087.

It can be written as a sum of positive squares in only one way, i.e., 43758225 + 34327881 = 6615^2 + 5859^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 70896 + ... + 71988.

Almost surely, 278086106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78086106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102235941).

78086106 is an abundant number, since it is smaller than the sum of its proper divisors (126385776).

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

78086106 is a wasteful number, since it uses less digits than its factorization.

78086106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1127 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 78086106 is about 8836.6343140361. The cubic root of 78086106 is about 427.4230332352.

The spelling of 78086106 in words is "seventy-eight million, eighty-six thousand, one hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 243 294 378 441 486 567 729 882 1093 1134 1323 1458 1701 2186 2646 3279 3402 3969 5103 6558 7651 7938 9837 10206 11907 15302 19674 22953 23814 29511 35721 45906 53557 59022 68859 71442 88533 107114 137718 160671 177066 206577 265599 321342 413154 482013 531198 619731 796797 964026 1239462 1446039 1593594 1859193 2892078 3718386 4338117 5577579 8676234 11155158 13014351 26028702 39043053 78086106