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83160007 = 73242449
BaseRepresentation
bin1001111010011…
…10101111000111
312210110222002021
410331032233013
5132242110012
612130224011
72026564000
oct475165707
9183428067
1083160007
1142a3a387
1223a25007
13142c8808
14b08a1a7
15747a007
hex4f4ebc7

83160007 has 8 divisors (see below), whose sum is σ = 96980000. Its totient is φ = 71279712.

The previous prime is 83160001. The next prime is 83160059. The reversal of 83160007 is 70006138.

It is not a de Polignac number, because 83160007 - 223 = 74771399 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83160001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120882 + ... + 121567.

It is an arithmetic number, because the mean of its divisors is an integer number (12122500).

Almost surely, 283160007 is an apocalyptic number.

83160007 is a deficient number, since it is larger than the sum of its proper divisors (13819993).

83160007 is an equidigital number, since it uses as much as digits as its factorization.

83160007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242470 (or 242456 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 83160007 is about 9119.2108759475. The cubic root of 83160007 is about 436.4871931746.

The spelling of 83160007 in words is "eighty-three million, one hundred sixty thousand, seven".

Divisors: 1 7 49 343 242449 1697143 11880001 83160007