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2028600 = 2332527223
BaseRepresentation
bin111101111010000111000
310211001201100
413233100320
51004403400
6111251400
723146200
oct7572070
93731640
102028600
111166132
12819b60
13560472
143ab400
152a1100
hex1ef438

2028600 has 216 divisors, whose sum is σ = 8269560. Its totient is φ = 443520.

The previous prime is 2028589. The next prime is 2028601. The reversal of 2028600 is 68202.

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 (2028601) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 88189 + ... + 88211.

It is an arithmetic number, because the mean of its divisors is an integer number (38285).

22028600 is an apocalyptic number.

2028600 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 2028600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4134780).

2028600 is an abundant number, since it is smaller than the sum of its proper divisors (6240960).

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

2028600 is a wasteful number, since it uses less digits than its factorization.

2028600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2028600 is about 1424.2892964563. The cubic root of 2028600 is about 126.5898272038.

It can be divided in two parts, 2028 and 600, that added together give a triangular number (2628 = T72).

The spelling of 2028600 in words is "two million, twenty-eight thousand, six hundred".