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2416064 = 2675393
BaseRepresentation
bin1001001101110111000000
311112202012212
421031313000
51104303224
6123441252
726351630
oct11156700
94482185
102416064
111400252
12986228
13667931
1446c6c0
1532ad0e
hex24ddc0

2416064 has 28 divisors (see below), whose sum is σ = 5480304. Its totient is φ = 1035264.

The previous prime is 2416061. The next prime is 2416067. The reversal of 2416064 is 4606142.

It is a happy number.

2416064 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2416061) and next prime (2416067).

It is a tau number, because it is divible by the number of its divisors (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2416061) 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, 2249 + ... + 3144.

22416064 is an apocalyptic number.

It is an amenable number.

2416064 is an abundant number, since it is smaller than the sum of its proper divisors (3064240).

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

2416064 is an equidigital number, since it uses as much as digits as its factorization.

2416064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5412 (or 5402 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 2416064 is about 1554.3693254822. The cubic root of 2416064 is about 134.1846418740.

The spelling of 2416064 in words is "two million, four hundred sixteen thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 5393 10786 21572 37751 43144 75502 86288 151004 172576 302008 345152 604016 1208032 2416064