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81071040 = 263584449
BaseRepresentation
bin1001101010100…
…00101111000000
312122112211120010
410311100233000
5131223233130
612013344520
72003043501
oct465205700
9178484503
1081071040
1141842966
1223198140
1313a46a3b
14aaa4ba8
1571b60b0
hex4d50bc0

81071040 has 56 divisors (see below), whose sum is σ = 257403600. Its totient is φ = 21618688.

The previous prime is 81071017. The next prime is 81071057. The reversal of 81071040 is 4017018.

81071040 = T4240 + T4241 + ... + T4248.

It is a junction number, because it is equal to n+sod(n) for n = 81070998 and 81071016.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 41265 + ... + 43184.

Almost surely, 281071040 is an apocalyptic number.

81071040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

81071040 is an abundant number, since it is smaller than the sum of its proper divisors (176332560).

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

81071040 is a wasteful number, since it uses less digits than its factorization.

81071040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84469 (or 84459 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 81071040 is about 9003.9458017027. The cubic root of 81071040 is about 432.8013247602.

Adding to 81071040 its reverse (4017018), we get a palindrome (85088058).

The spelling of 81071040 in words is "eighty-one million, seventy-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 84449 168898 253347 337796 422245 506694 675592 844490 1013388 1266735 1351184 1688980 2026776 2533470 2702368 3377960 4053552 5066940 5404736 6755920 8107104 10133880 13511840 16214208 20267760 27023680 40535520 81071040