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413064 = 23325737
BaseRepresentation
bin1100100110110001000
3202222121200
41210312020
5101204224
612504200
73340161
oct1446610
9688550
10413064
11262383
1217b060
13116022
14aa768
15825c9
hex64d88

413064 has 24 divisors (see below), whose sum is σ = 1118910. Its totient is φ = 137664.

The previous prime is 413053. The next prime is 413069. The reversal of 413064 is 460314.

Adding to 413064 its reverse (460314), we get a palindrome (873378).

It can be written as a sum of positive squares in only one way, i.e., 412164 + 900 = 642^2 + 30^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (413069) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2797 + ... + 2940.

2413064 is an apocalyptic number.

It is an amenable number.

413064 is an abundant number, since it is smaller than the sum of its proper divisors (705846).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

413064 is a wasteful number, since it uses less digits than its factorization.

413064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5749 (or 5742 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 413064 is about 642.7005523570. The cubic root of 413064 is about 74.4741889175.

The spelling of 413064 in words is "four hundred thirteen thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 5737 11474 17211 22948 34422 45896 51633 68844 103266 137688 206532 413064