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415096 = 23115389
BaseRepresentation
bin1100101010101111000
3210002101221
41211111320
5101240341
612521424
73346123
oct1452570
9702357
10415096
11263960
12180274
13116c26
14ab3ba
1582ed1
hex65578

415096 has 32 divisors (see below), whose sum is σ = 874800. Its totient is φ = 183040.

The previous prime is 415087. The next prime is 415097. The reversal of 415096 is 690514.

415096 is nontrivially palindromic in base 14.

415096 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 415096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415097) by changing a digit.

415096 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4620 + ... + 4708.

2415096 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 415096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437400).

415096 is an abundant number, since it is smaller than the sum of its proper divisors (459704).

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

415096 is a wasteful number, since it uses less digits than its factorization.

415096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 415096 is about 644.2794424782. The cubic root of 415096 is about 74.5961103613.

The spelling of 415096 in words is "four hundred fifteen thousand, ninety-six".

Divisors: 1 2 4 8 11 22 44 53 88 89 106 178 212 356 424 583 712 979 1166 1958 2332 3916 4664 4717 7832 9434 18868 37736 51887 103774 207548 415096