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401013 = 32172621
BaseRepresentation
bin1100001111001110101
3202101002100
41201321311
5100313023
612332313
73260064
oct1417165
9671070
10401013
11254318
12174099
131106b2
14a61db
157dc43
hex61e75

401013 has 12 divisors (see below), whose sum is σ = 613548. Its totient is φ = 251520.

The previous prime is 400997. The next prime is 401017. The reversal of 401013 is 310104.

It can be written as a sum of positive squares in 2 ways, for example, as 321489 + 79524 = 567^2 + 282^2 .

It is not a de Polignac number, because 401013 - 24 = 400997 is a prime.

It is a super-2 number, since 2×4010132 = 321622852338, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 400986 and 401004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401017) 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 11 ways as a sum of consecutive naturals, for example, 1158 + ... + 1463.

It is an arithmetic number, because the mean of its divisors is an integer number (51129).

2401013 is an apocalyptic number.

It is an amenable number.

401013 is a deficient number, since it is larger than the sum of its proper divisors (212535).

401013 is a wasteful number, since it uses less digits than its factorization.

401013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2644 (or 2641 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 401013 is about 633.2558724560. The cubic root of 401013 is about 73.7427762723.

Adding to 401013 its reverse (310104), we get a palindrome (711117).

Subtracting from 401013 its reverse (310104), we obtain a palindrome (90909).

It can be divided in two parts, 40101 and 3, that added together give a palindrome (40104).

The spelling of 401013 in words is "four hundred one thousand, thirteen".

Divisors: 1 3 9 17 51 153 2621 7863 23589 44557 133671 401013