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81147040 = 2551323001
BaseRepresentation
bin1001101011000…
…11010010100000
312122200200210221
410311203102200
5131233201130
612015132424
72003511202
oct465432240
9178620727
1081147040
1141894a77
1223214114
1313a72500
14aac4772
1571cd87a
hex4d634a0

81147040 has 72 divisors (see below), whose sum is σ = 207660348. Its totient is φ = 29952000.

The previous prime is 81146993. The next prime is 81147041. The reversal of 81147040 is 4074118.

It can be written as a sum of positive squares in 6 ways, for example, as 9168784 + 71978256 = 3028^2 + 8484^2 .

It is a junction number, because it is equal to n+sod(n) for n = 81146996 and 81147014.

It is not an unprimeable number, because it can be changed into a prime (81147041) 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, 25540 + ... + 28540.

Almost surely, 281147040 is an apocalyptic number.

81147040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81147040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103830174).

81147040 is an abundant number, since it is smaller than the sum of its proper divisors (126513308).

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

81147040 is a wasteful number, since it uses less digits than its factorization.

81147040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3042 (or 3021 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 81147040 is about 9008.1651849863. The cubic root of 81147040 is about 432.9365256390.

The spelling of 81147040 in words is "eighty-one million, one hundred forty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 169 208 260 338 416 520 676 845 1040 1352 1690 2080 2704 3001 3380 5408 6002 6760 12004 13520 15005 24008 27040 30010 39013 48016 60020 78026 96032 120040 156052 195065 240080 312104 390130 480160 507169 624208 780260 1014338 1248416 1560520 2028676 2535845 3121040 4057352 5071690 6242080 8114704 10143380 16229408 20286760 40573520 81147040