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401401 = 71113401
BaseRepresentation
bin1100001111111111001
3202101121201
41201333321
5100321101
612334201
73261160
oct1417771
9671551
10401401
11254640
12174361
13110920
14a63d7
157de01
hex61ff9

401401 has 16 divisors (see below), whose sum is σ = 540288. Its totient is φ = 288000.

The previous prime is 401393. The next prime is 401407. The reversal of 401401 is 104104.

Adding to 401401 its reverse (104104), we get a palindrome (505505).

It can be divided in two parts, 40 and 1401, that added together give a palindrome (1441).

401401 = 162 + 172 + ... + 1062.

It is a 3-Lehmer number, since φ(401401) divides (401401-1)3.

It is a cyclic number.

It is not a de Polignac number, because 401401 - 23 = 401393 is a prime.

It is a super-3 number, since 3×4014013 = 194024514333252603, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a deceptive number, since it divides R401400.

It is not an unprimeable number, because it can be changed into a prime (401407) 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 15 ways as a sum of consecutive naturals, for example, 801 + ... + 1201.

It is an arithmetic number, because the mean of its divisors is an integer number (33768).

It is a Poulet number, since it divides 2401400-1.

2401401 is an apocalyptic number.

401401 is the 401-st heptagonal number.

It is an amenable number.

401401 is a deficient number, since it is larger than the sum of its proper divisors (138887).

401401 is a wasteful number, since it uses less digits than its factorization.

401401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432.

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 401401 is about 633.5621516473. The cubic root of 401401 is about 73.7665518724.

The spelling of 401401 in words is "four hundred one thousand, four hundred one", and thus it is an iban number.

Divisors: 1 7 11 13 77 91 143 401 1001 2807 4411 5213 30877 36491 57343 401401