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400117 = 3112907
BaseRepresentation
bin1100001101011110101
3202022212011
41201223311
5100300432
612324221
73254344
oct1415365
9668764
10400117
11253683
12173671
13110173
14a5b5b
157d847
hex61af5

400117 has 4 divisors (see below), whose sum is σ = 413056. Its totient is φ = 387180.

The previous prime is 400109. The next prime is 400123. The reversal of 400117 is 711004.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 400117 - 23 = 400109 is a prime.

It is a super-2 number, since 2×4001172 = 320187227378, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 400097 and 400106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400157) 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 3 ways as a sum of consecutive naturals, for example, 6423 + ... + 6484.

It is an arithmetic number, because the mean of its divisors is an integer number (103264).

2400117 is an apocalyptic number.

It is an amenable number.

400117 is a deficient number, since it is larger than the sum of its proper divisors (12939).

400117 is a wasteful number, since it uses less digits than its factorization.

400117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12938.

The product of its (nonzero) digits is 28, while the sum is 13.

The square root of 400117 is about 632.5480218924. The cubic root of 400117 is about 73.6878131339.

The spelling of 400117 in words is "four hundred thousand, one hundred seventeen", and thus it is an iban number.

Divisors: 1 31 12907 400117