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2563064 = 237371237
BaseRepresentation
bin1001110001101111111000
311211012212022
421301233320
51124004224
6130534012
730533330
oct11615770
94735768
102563064
1114a0739
12a37308
136b980a
144aa0c0
1535965e
hex271bf8

2563064 has 32 divisors (see below), whose sum is σ = 5645280. Its totient is φ = 1067904.

The previous prime is 2563063. The next prime is 2563079. The reversal of 2563064 is 4603652.

It is a d-powerful number, because it can be written as 219 + 59 + 63 + 39 + 0 + 63 + 48 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2563063) 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, 1454 + ... + 2690.

It is an arithmetic number, because the mean of its divisors is an integer number (176415).

22563064 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 2563064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2822640).

2563064 is an abundant number, since it is smaller than the sum of its proper divisors (3082216).

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

2563064 is a wasteful number, since it uses less digits than its factorization.

2563064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1287 (or 1283 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 2563064 is about 1600.9572136694. The cubic root of 2563064 is about 136.8526307071.

The spelling of 2563064 in words is "two million, five hundred sixty-three thousand, sixty-four".

Divisors: 1 2 4 7 8 14 28 37 56 74 148 259 296 518 1036 1237 2072 2474 4948 8659 9896 17318 34636 45769 69272 91538 183076 320383 366152 640766 1281532 2563064