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112379393 = 7210092273
BaseRepresentation
bin1101011001011…
…00011000000001
321211110110112202
412230230120001
5212232120033
615052402545
72533131500
oct654543001
9254413482
10112379393
1158487335
1231776455
131a3893a9
1410cd4837
159cec8e8
hex6b2c601

112379393 has 12 divisors (see below), whose sum is σ = 130914180. Its totient is φ = 96187392.

The previous prime is 112379387. The next prime is 112379411. The reversal of 112379393 is 393973211.

It can be written as a sum of positive squares in 2 ways, for example, as 70090384 + 42289009 = 8372^2 + 6503^2 .

It is not a de Polignac number, because 112379393 - 26 = 112379329 is a prime.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (112379363) 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 11 ways as a sum of consecutive naturals, for example, 48305 + ... + 50577.

It is an arithmetic number, because the mean of its divisors is an integer number (10909515).

Almost surely, 2112379393 is an apocalyptic number.

It is an amenable number.

112379393 is a deficient number, since it is larger than the sum of its proper divisors (18534787).

112379393 is a wasteful number, since it uses less digits than its factorization.

112379393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3296 (or 3289 counting only the distinct ones).

The product of its digits is 30618, while the sum is 38.

The square root of 112379393 is about 10600.9147246830. The cubic root of 112379393 is about 482.5721198361.

The spelling of 112379393 in words is "one hundred twelve million, three hundred seventy-nine thousand, three hundred ninety-three".

Divisors: 1 7 49 1009 2273 7063 15911 49441 111377 2293457 16054199 112379393