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81682704 = 24321573613
BaseRepresentation
bin1001101111001…
…10000100010000
312200200220121100
410313212010100
5131402321304
612034424400
72011201665
oct467460420
9180626540
1081682704
1142120474
1223432100
1313bcc27c
14abc3a6c
157287439
hex4de6110

81682704 has 60 divisors (see below), whose sum is σ = 230117836. Its totient is φ = 27046656.

The previous prime is 81682703. The next prime is 81682709. The reversal of 81682704 is 40728618.

It can be written as a sum of positive squares in 2 ways, for example, as 7033104 + 74649600 = 2652^2 + 8640^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (81682703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20802 + ... + 24414.

Almost surely, 281682704 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 81682704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115058918).

81682704 is an abundant number, since it is smaller than the sum of its proper divisors (148435132).

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

81682704 is a wasteful number, since it uses less digits than its factorization.

81682704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3784 (or 3775 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 81682704 is about 9037.8484165204. The cubic root of 81682704 is about 433.8870638489.

The spelling of 81682704 in words is "eighty-one million, six hundred eighty-two thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 157 314 471 628 942 1256 1413 1884 2512 2826 3613 3768 5652 7226 7536 10839 11304 14452 21678 22608 28904 32517 43356 57808 65034 86712 130068 173424 260136 520272 567241 1134482 1701723 2268964 3403446 4537928 5105169 6806892 9075856 10210338 13613784 20420676 27227568 40841352 81682704