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2028564 = 22352087
BaseRepresentation
bin111101111010000010100
310211001200000
413233100110
51004403224
6111251300
723146116
oct7572024
93731600
102028564
1111660aa
12819b30
13560445
143ab3b6
152a10c9
hex1ef414

2028564 has 36 divisors (see below), whose sum is σ = 5320224. Its totient is φ = 675864.

The previous prime is 2028527. The next prime is 2028581. The reversal of 2028564 is 4658202.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 in 11 ways as a sum of consecutive naturals, for example, 72 + ... + 2015.

It is an arithmetic number, because the mean of its divisors is an integer number (147784).

22028564 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 2028564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2660112).

2028564 is an abundant number, since it is smaller than the sum of its proper divisors (3291660).

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

2028564 is a wasteful number, since it uses less digits than its factorization.

2028564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2106 (or 2092 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2028564 is about 1424.2766585183. The cubic root of 2028564 is about 126.5890783687.

The spelling of 2028564 in words is "two million, twenty-eight thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 2087 4174 6261 8348 12522 18783 25044 37566 56349 75132 112698 169047 225396 338094 507141 676188 1014282 2028564