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83106337 = 2310213539
BaseRepresentation
bin1001111010000…
…01101000100001
312210101020110111
410331001220201
5132233400322
612125131321
72026251346
oct475015041
9183336414
1083106337
1142a03026
12239b9b41
13142aa262
14b0747cd
157469177
hex4f41a21

83106337 has 8 divisors (see below), whose sum is σ = 86829120. Its totient is φ = 79392720.

The previous prime is 83106307. The next prime is 83106343. The reversal of 83106337 is 73360138.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 83106337 - 211 = 83104289 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 83106299 and 83106308.

It is not an unprimeable number, because it can be changed into a prime (83106307) 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, 21714 + ... + 25252.

It is an arithmetic number, because the mean of its divisors is an integer number (10853640).

Almost surely, 283106337 is an apocalyptic number.

It is an amenable number.

83106337 is a deficient number, since it is larger than the sum of its proper divisors (3722783).

83106337 is a wasteful number, since it uses less digits than its factorization.

83106337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4583.

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 83106337 is about 9116.2677121726. The cubic root of 83106337 is about 436.3932725913.

The spelling of 83106337 in words is "eighty-three million, one hundred six thousand, three hundred thirty-seven".

Divisors: 1 23 1021 3539 23483 81397 3613319 83106337