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414153 = 345113
BaseRepresentation
bin1100101000111001001
3210001010000
41211013021
5101223103
612513213
73343305
oct1450711
9701100
10414153
11263183
1217b809
1311667c
1582aa3
hex651c9

414153 has 10 divisors (see below), whose sum is σ = 618794. Its totient is φ = 276048.

The previous prime is 414131. The next prime is 414157. The reversal of 414153 is 351414.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 227529 + 186624 = 477^2 + 432^2 .

It is not a de Polignac number, because 414153 - 210 = 413129 is a prime.

It is a Duffinian number.

414153 is a lucky number.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (414157) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2476 + ... + 2637.

2414153 is an apocalyptic number.

It is an amenable number.

414153 is a deficient number, since it is larger than the sum of its proper divisors (204641).

414153 is an equidigital number, since it uses as much as digits as its factorization.

414153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5125 (or 5116 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 414153 is about 643.5472010661. The cubic root of 414153 is about 74.5395792875.

Adding to 414153 its reverse (351414), we get a palindrome (765567).

The spelling of 414153 in words is "four hundred fourteen thousand, one hundred fifty-three".

Divisors: 1 3 9 27 81 5113 15339 46017 138051 414153