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81006072 = 2337482179
BaseRepresentation
bin1001101010000…
…00110111111000
312122102112102220
410311000313320
5131214143242
612012124040
72002353210
oct465006770
9178375386
1081006072
11417a9074
1223166620
1313a232b4
14aa89240
1571a1bec
hex4d40df8

81006072 has 32 divisors (see below), whose sum is σ = 231446400. Its totient is φ = 23144544.

The previous prime is 81006059. The next prime is 81006083. The reversal of 81006072 is 27060018.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 240922 + ... + 241257.

It is an arithmetic number, because the mean of its divisors is an integer number (7232700).

Almost surely, 281006072 is an apocalyptic number.

It is an amenable number.

81006072 is an abundant number, since it is smaller than the sum of its proper divisors (150440328).

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

81006072 is a wasteful number, since it uses less digits than its factorization.

81006072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482195 (or 482191 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 81006072 is about 9000.3373270117. The cubic root of 81006072 is about 432.6856823522.

The spelling of 81006072 in words is "eighty-one million, six thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 482179 964358 1446537 1928716 2893074 3375253 3857432 5786148 6750506 10125759 11572296 13501012 20251518 27002024 40503036 81006072