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402713 = 1723689
BaseRepresentation
bin1100010010100011001
3202110102022
41202110121
5100341323
612344225
73265043
oct1422431
9673368
10402713
11255623
12175075
131113bc
14a6a93
157e4c8
hex62519

402713 has 4 divisors (see below), whose sum is σ = 426420. Its totient is φ = 379008.

The previous prime is 402697. The next prime is 402739. The reversal of 402713 is 317204.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 135424 + 267289 = 368^2 + 517^2 .

It is a cyclic number.

It is not a de Polignac number, because 402713 - 24 = 402697 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17), and also a Moran number because the ratio is a prime number: 23689 = 402713 / (4 + 0 + 2 + 7 + 1 + 3).

It is a Duffinian number.

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 402691 and 402700.

It is not an unprimeable number, because it can be changed into a prime (402763) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11828 + ... + 11861.

It is an arithmetic number, because the mean of its divisors is an integer number (106605).

2402713 is an apocalyptic number.

It is an amenable number.

402713 is a deficient number, since it is larger than the sum of its proper divisors (23707).

402713 is a wasteful number, since it uses less digits than its factorization.

402713 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23706.

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 402713 is about 634.5967223363. The cubic root of 402713 is about 73.8468344010.

Adding to 402713 its reverse (317204), we get a palindrome (719917).

The spelling of 402713 in words is "four hundred two thousand, seven hundred thirteen".

Divisors: 1 17 23689 402713