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81446680 = 23572312647
BaseRepresentation
bin1001101101011…
…00011100011000
312200020220211201
410312230130120
5131322243210
612025403544
72006166610
oct466543430
9180226751
1081446680
1141a7a107
12233395b4
1313b48a03
14ab61a40
15723c53a
hex4dac718

81446680 has 64 divisors (see below), whose sum is σ = 218557440. Its totient is φ = 26708352.

The previous prime is 81446663. The next prime is 81446683. The reversal of 81446680 is 8664418.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81446683) 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 15 ways as a sum of consecutive naturals, for example, 117 + ... + 12763.

It is an arithmetic number, because the mean of its divisors is an integer number (3414960).

Almost surely, 281446680 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 81446680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109278720).

81446680 is an abundant number, since it is smaller than the sum of its proper divisors (137110760).

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

81446680 is a wasteful number, since it uses less digits than its factorization.

81446680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12688 (or 12684 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 81446680 is about 9024.7814377967. The cubic root of 81446680 is about 433.4687518910.

The spelling of 81446680 in words is "eighty-one million, four hundred forty-six thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 56 70 92 115 140 161 184 230 280 322 460 644 805 920 1288 1610 3220 6440 12647 25294 50588 63235 88529 101176 126470 177058 252940 290881 354116 442645 505880 581762 708232 885290 1163524 1454405 1770580 2036167 2327048 2908810 3541160 4072334 5817620 8144668 10180835 11635240 16289336 20361670 40723340 81446680