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407031 = 31723347
BaseRepresentation
bin1100011010111110111
3202200100020
41203113313
5101011111
612420223
73313452
oct1432767
9680306
10407031
11258899
12177673
13113361
14a8499
1580906
hex635f7

407031 has 16 divisors (see below), whose sum is σ = 601344. Its totient is φ = 243584.

The previous prime is 407023. The next prime is 407047. The reversal of 407031 is 130704.

It is a cyclic number.

It is not a de Polignac number, because 407031 - 23 = 407023 is a prime.

It is a super-2 number, since 2×4070312 = 331348469922, which contains 22 as substring.

It is a plaindrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 407031.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 407031.

It is not an unprimeable number, because it can be changed into a prime (400031) 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, 1000 + ... + 1346.

It is an arithmetic number, because the mean of its divisors is an integer number (37584).

2407031 is an apocalyptic number.

407031 is the 404-th centered pentagonal number.

407031 is a deficient number, since it is larger than the sum of its proper divisors (194313).

407031 is a wasteful number, since it uses less digits than its factorization.

407031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390.

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 407031 is about 637.9898118309. The cubic root of 407031 is about 74.1098320351.

Adding to 407031 its reverse (130704), we get a palindrome (537735).

It can be divided in two parts, 40703 and 1, that added together give a palindrome (40704).

The spelling of 407031 in words is "four hundred seven thousand, thirty-one".

Divisors: 1 3 17 23 51 69 347 391 1041 1173 5899 7981 17697 23943 135677 407031