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114664064 = 27895813
BaseRepresentation
bin1101101010110…
…10001010000000
321222202112112012
412311122022000
5213323222224
615213352052
72561425364
oct665321200
9258675465
10114664064
11597a7899
1232498628
131a9a9278
141132b2a4
15a0ee80e
hex6d5a280

114664064 has 16 divisors (see below), whose sum is σ = 228432570. Its totient is φ = 57331968.

The previous prime is 114664061. The next prime is 114664087. The reversal of 114664064 is 460466411.

It can be written as a sum of positive squares in only one way, i.e., 92006464 + 22657600 = 9592^2 + 4760^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 114664064.

It is not an unprimeable number, because it can be changed into a prime (114664061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 447779 + ... + 448034.

Almost surely, 2114664064 is an apocalyptic number.

It is an amenable number.

114664064 is a deficient number, since it is larger than the sum of its proper divisors (113768506).

114664064 is an frugal number, since it uses more digits than its factorization.

114664064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895827 (or 895815 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 114664064 is about 10708.1307425713. The cubic root of 114664064 is about 485.8204330212.

The spelling of 114664064 in words is "one hundred fourteen million, six hundred sixty-four thousand, sixty-four".

Divisors: 1 2 4 8 16 32 64 128 895813 1791626 3583252 7166504 14333008 28666016 57332032 114664064