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81417360 = 2435339239
BaseRepresentation
bin1001101101001…
…01010010010000
312200012102121210
410312211102100
5131320323420
612025020120
72006015253
oct466452220
9180172553
1081417360
1141a5a082
1223324640
1313b3856b
14ab5509a
1572339e0
hex4da5490

81417360 has 40 divisors (see below), whose sum is σ = 252394560. Its totient is φ = 21711232.

The previous prime is 81417341. The next prime is 81417367. The reversal of 81417360 is 6371418.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (81417367) 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 7 ways as a sum of consecutive naturals, for example, 169380 + ... + 169859.

It is an arithmetic number, because the mean of its divisors is an integer number (6309864).

Almost surely, 281417360 is an apocalyptic number.

81417360 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

81417360 is an abundant number, since it is smaller than the sum of its proper divisors (170977200).

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

81417360 is a wasteful number, since it uses less digits than its factorization.

81417360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339255 (or 339249 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 81417360 is about 9023.1568755065. The cubic root of 81417360 is about 433.4167308257.

Adding to 81417360 its reverse (6371418), we get a palindrome (87788778).

The spelling of 81417360 in words is "eighty-one million, four hundred seventeen thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 339239 678478 1017717 1356956 1696195 2035434 2713912 3392390 4070868 5088585 5427824 6784780 8141736 10177170 13569560 16283472 20354340 27139120 40708680 81417360