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401679 = 361929
BaseRepresentation
bin1100010000100001111
3202102000000
41202010033
5100323204
612335343
73262035
oct1420417
9672000
10401679
11254873
12174553
13110aa5
14a6555
157e039
hex6210f

401679 has 28 divisors (see below), whose sum is σ = 655800. Its totient is φ = 244944.

The previous prime is 401671. The next prime is 401689. The reversal of 401679 is 976104.

It is not a de Polignac number, because 401679 - 23 = 401671 is a prime.

It is a super-2 number, since 2×4016792 = 322692038082, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401671) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 13837 + ... + 13865.

2401679 is an apocalyptic number.

401679 is a deficient number, since it is larger than the sum of its proper divisors (254121).

401679 is an equidigital number, since it uses as much as digits as its factorization.

401679 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 401679 is about 633.7815080925. The cubic root of 401679 is about 73.7835775475.

It can be divided in two parts, 4016 and 79, that added together give a triangular number (4095 = T90).

The spelling of 401679 in words is "four hundred one thousand, six hundred seventy-nine".

Divisors: 1 3 9 19 27 29 57 81 87 171 243 261 513 551 729 783 1539 1653 2349 4617 4959 7047 13851 14877 21141 44631 133893 401679