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415064 = 23132307
BaseRepresentation
bin1100101010101011000
3210002100202
41211111120
5101240224
612521332
73346046
oct1452530
9702322
10415064
11263931
12180248
13116c00
14ab396
1582eae
hex65558

415064 has 24 divisors (see below), whose sum is σ = 845460. Its totient is φ = 190944.

The previous prime is 415061. The next prime is 415069. The reversal of 415064 is 460514.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415061) 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, 1199 + ... + 1505.

2415064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 415064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422730).

415064 is an abundant number, since it is smaller than the sum of its proper divisors (430396).

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

415064 is a wasteful number, since it uses less digits than its factorization.

415064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 415064 is about 644.2546080549. The cubic root of 415064 is about 74.5941934257.

Adding to 415064 its reverse (460514), we get a palindrome (875578).

The spelling of 415064 in words is "four hundred fifteen thousand, sixty-four".

Divisors: 1 2 4 8 13 26 52 104 169 307 338 614 676 1228 1352 2456 3991 7982 15964 31928 51883 103766 207532 415064