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80106894 = 236747167
BaseRepresentation
bin1001100011001…
…01010110001110
312120201212000000
410301211112032
5131001410034
611540545130
71661616540
oct461452616
9176655000
1080106894
114124454a
12229b21a6
1313799c3a
14a8d3690
157075599
hex4c6558e

80106894 has 112 divisors (see below), whose sum is σ = 211534848. Its totient is φ = 22266576.

The previous prime is 80106889. The next prime is 80106899. The reversal of 80106894 is 49860108.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (80106889) and next prime (80106899).

It is a super-2 number, since 2×801068942 = 12834228932654472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80106899) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 479599 + ... + 479765.

It is an arithmetic number, because the mean of its divisors is an integer number (1888704).

Almost surely, 280106894 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80106894, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105767424).

80106894 is an abundant number, since it is smaller than the sum of its proper divisors (131427954).

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

80106894 is a wasteful number, since it uses less digits than its factorization.

80106894 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 80106894 is about 8950.2454714941. The cubic root of 80106894 is about 431.0787660446.

The spelling of 80106894 in words is "eighty million, one hundred six thousand, eight hundred ninety-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 47 54 63 81 94 126 141 162 167 189 243 282 329 334 378 423 486 501 567 658 729 846 987 1002 1134 1169 1269 1458 1503 1701 1974 2338 2538 2961 3006 3402 3507 3807 4509 5103 5922 7014 7614 7849 8883 9018 10206 10521 11421 13527 15698 17766 21042 22842 23547 26649 27054 31563 34263 40581 47094 53298 54943 63126 68526 70641 79947 81162 94689 109886 121743 141282 159894 164829 189378 211923 239841 243486 284067 329658 423846 479682 494487 568134 635769 852201 988974 1271538 1483461 1704402 1907307 2966922 3814614 4450383 5721921 8900766 11443842 13351149 26702298 40053447 80106894