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127401985 = 545175641
BaseRepresentation
bin1111001100000…
…00000000000001
322212201200200001
413212000000001
5230103330420
620350400001
73104620234
oct746000001
9285650601
10127401985
1165a07aa7
1236800001
13205190b9
1412cc541b
15b2b8b0a
hex7980001

127401985 has 8 divisors (see below), whose sum is σ = 152943336. Its totient is φ = 101880960.

The previous prime is 127401947. The next prime is 127402001. The reversal of 127401985 is 589104721.

It can be written as a sum of positive squares in 4 ways, for example, as 11128896 + 116273089 = 3336^2 + 10783^2 .

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

It is not a de Polignac number, because 127401985 - 225 = 93847553 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19765 + ... + 25405.

It is an arithmetic number, because the mean of its divisors is an integer number (19117917).

It is a Proth number, since it is equal to 243 ⋅ 219 + 1 and 243 < 219.

Almost surely, 2127401985 is an apocalyptic number.

It is an amenable number.

127401985 is a deficient number, since it is larger than the sum of its proper divisors (25541351).

127401985 is an equidigital number, since it uses as much as digits as its factorization.

127401985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10163.

The product of its (nonzero) digits is 20160, while the sum is 37.

The square root of 127401985 is about 11287.2487790427. The cubic root of 127401985 is about 503.1823490046.

The spelling of 127401985 in words is "one hundred twenty-seven million, four hundred one thousand, nine hundred eighty-five".

Divisors: 1 5 4517 5641 22585 28205 25480397 127401985