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400127 = 7134397
BaseRepresentation
bin1100001101011111111
3202022212112
41201223333
5100301002
612324235
73254360
oct1415377
9668775
10400127
11253692
1217367b
13110180
14a5b67
157d852
hex61aff

400127 has 8 divisors (see below), whose sum is σ = 492576. Its totient is φ = 316512.

The previous prime is 400123. The next prime is 400151. The reversal of 400127 is 721004.

It is a happy number.

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

It is not a de Polignac number, because 400127 - 22 = 400123 is a prime.

It is a super-2 number, since 2×4001272 = 320203232258, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400123) 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 7 ways as a sum of consecutive naturals, for example, 2108 + ... + 2289.

It is an arithmetic number, because the mean of its divisors is an integer number (61572).

2400127 is an apocalyptic number.

400127 is a deficient number, since it is larger than the sum of its proper divisors (92449).

400127 is a wasteful number, since it uses less digits than its factorization.

400127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4417.

The product of its (nonzero) digits is 56, while the sum is 14.

The square root of 400127 is about 632.5559263812. Note that the first 3 decimals coincide. The cubic root of 400127 is about 73.6884270144.

The spelling of 400127 in words is "four hundred thousand, one hundred twenty-seven", and thus it is an iban number.

Divisors: 1 7 13 91 4397 30779 57161 400127