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2056500 = 223253457
BaseRepresentation
bin111110110000100110100
310212110222200
413312010310
51011302000
6112024500
723323425
oct7660464
93773880
102056500
111185096
12832130
13570084
143b764c
152a9500
hex1f6134

2056500 has 72 divisors (see below), whose sum is σ = 6501768. Its totient is φ = 547200.

The previous prime is 2056489. The next prime is 2056501. The reversal of 2056500 is 56502.

It can be written as a sum of positive squares in 4 ways, for example, as 144 + 2056356 = 12^2 + 1434^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2056501) 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 in 23 ways as a sum of consecutive naturals, for example, 4272 + ... + 4728.

22056500 is an apocalyptic number.

2056500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2056500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3250884).

2056500 is an abundant number, since it is smaller than the sum of its proper divisors (4445268).

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

2056500 is a wasteful number, since it uses less digits than its factorization.

2056500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 2056500 is about 1434.0502083261. The cubic root of 2056500 is about 127.1675305756.

It can be divided in two parts, 2056 and 500, that added together give a triangular number (2556 = T71).

The spelling of 2056500 in words is "two million, fifty-six thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 125 150 180 225 250 300 375 450 457 500 750 900 914 1125 1371 1500 1828 2250 2285 2742 4113 4500 4570 5484 6855 8226 9140 11425 13710 16452 20565 22850 27420 34275 41130 45700 57125 68550 82260 102825 114250 137100 171375 205650 228500 342750 411300 514125 685500 1028250 2056500