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127105216 = 267240531
BaseRepresentation
bin1111001001101…
…11100011000000
322212011121120121
413210313203000
5230014331331
620340150024
73102243100
oct744674300
9285147517
10127105216
1165825037
1236698314
1320443cb4
1412c49200
15b25ac11
hex79378c0

127105216 has 42 divisors (see below), whose sum is σ = 293411148. Its totient is φ = 54472320.

The previous prime is 127105157. The next prime is 127105217. The reversal of 127105216 is 612501721.

It is not an unprimeable number, because it can be changed into a prime (127105217) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 17130 + ... + 23401.

Almost surely, 2127105216 is an apocalyptic number.

127105216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

127105216 is an abundant number, since it is smaller than the sum of its proper divisors (166305932).

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

127105216 is an equidigital number, since it uses as much as digits as its factorization.

127105216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40557 (or 40540 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 25.

The square root of 127105216 is about 11274.0949082399. The cubic root of 127105216 is about 502.7913424823.

Adding to 127105216 its reverse (612501721), we get a palindrome (739606937).

The spelling of 127105216 in words is "one hundred twenty-seven million, one hundred five thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 40531 81062 162124 283717 324248 567434 648496 1134868 1296992 1986019 2269736 2593984 3972038 4539472 7944076 9078944 15888152 18157888 31776304 63552608 127105216