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83145840 = 2435346441
BaseRepresentation
bin1001111010010…
…11010001110000
312210110020122120
410331023101300
5132241131330
612130034240
72026504461
oct475132160
9183406576
1083145840
1142a2a778
1223a18980
13142c222b
14b084d68
157475c10
hex4f4b470

83145840 has 40 divisors (see below), whose sum is σ = 257752848. Its totient is φ = 22172160.

The previous prime is 83145833. The next prime is 83145863. The reversal of 83145840 is 4854138.

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

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, 172981 + ... + 173460.

Almost surely, 283145840 is an apocalyptic number.

83145840 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83145840 is an abundant number, since it is smaller than the sum of its proper divisors (174607008).

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

83145840 is a wasteful number, since it uses less digits than its factorization.

83145840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346457 (or 346451 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 83145840 is about 9118.4340760900. The cubic root of 83145840 is about 436.4624053570.

Adding to 83145840 its reverse (4854138), we get a palindrome (87999978).

The spelling of 83145840 in words is "eighty-three million, one hundred forty-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 346441 692882 1039323 1385764 1732205 2078646 2771528 3464410 4157292 5196615 5543056 6928820 8314584 10393230 13857640 16629168 20786460 27715280 41572920 83145840