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2014064 = 241323421
BaseRepresentation
bin111101011101101110000
310210022202222
413223231300
51003422224
6111100212
723055623
oct7535560
93708688
102014064
111156218
12811668
13556970
143a5dba
1529bb5e
hex1ebb70

2014064 has 40 divisors (see below), whose sum is σ = 4395552. Its totient is φ = 887040.

The previous prime is 2014049. The next prime is 2014069. The reversal of 2014064 is 4604102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2014069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4574 + ... + 4994.

22014064 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 2014064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2197776).

2014064 is an abundant number, since it is smaller than the sum of its proper divisors (2381488).

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

2014064 is a wasteful number, since it uses less digits than its factorization.

2014064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 2014064 is about 1419.1772264238. The cubic root of 2014064 is about 126.2867409324.

Adding to 2014064 its reverse (4604102), we get a palindrome (6618166).

The spelling of 2014064 in words is "two million, fourteen thousand, sixty-four".

Divisors: 1 2 4 8 13 16 23 26 46 52 92 104 184 208 299 368 421 598 842 1196 1684 2392 3368 4784 5473 6736 9683 10946 19366 21892 38732 43784 77464 87568 125879 154928 251758 503516 1007032 2014064