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81480000 = 26354797
BaseRepresentation
bin1001101101101…
…00100101000000
312200022121112210
410312310211000
5131324330000
612030222120
72006366010
oct466644500
9180277483
1081480000
1141aa2148
1223354940
1313b5ac24
14ab6dc40
157247350
hex4db4940

81480000 has 280 divisors, whose sum is σ = 311050432. Its totient is φ = 18432000.

The previous prime is 81479989. The next prime is 81480001. The reversal of 81480000 is 8418.

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81480001) 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 39 ways as a sum of consecutive naturals, for example, 839952 + ... + 840048.

Almost surely, 281480000 is an apocalyptic number.

81480000 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 81480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155525216).

81480000 is an abundant number, since it is smaller than the sum of its proper divisors (229570432).

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

81480000 is an equidigital number, since it uses as much as digits as its factorization.

81480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 81480000 is about 9026.6272771174. The cubic root of 81480000 is about 433.5278548104.

Adding to 81480000 its reverse (8418), we get a palindrome (81488418).

The spelling of 81480000 in words is "eighty-one million, four hundred eighty thousand".