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2028300 = 223526761
BaseRepresentation
bin111101111001100001100
310211001022020
413233030030
51004401200
6111250140
723145261
oct7571414
93731266
102028300
11116598a
12819950
135602a1
143ab268
152a0ea0
hex1ef30c

2028300 has 36 divisors (see below), whose sum is σ = 5869416. Its totient is φ = 540800.

The previous prime is 2028293. The next prime is 2028319. The reversal of 2028300 is 38202.

It is a super-2 number, since 2×20283002 = 8228001780000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2028300.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3081 + ... + 3680.

22028300 is an apocalyptic number.

2028300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2028300 is an abundant number, since it is smaller than the sum of its proper divisors (3841116).

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

2028300 is a wasteful number, since it uses less digits than its factorization.

2028300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6778 (or 6771 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2028300 is about 1424.1839768794. The cubic root of 2028300 is about 126.5835866405.

It can be divided in two parts, 2028 and 300, that multiplied together give a square (608400 = 7802).

The spelling of 2028300 in words is "two million, twenty-eight thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 6761 13522 20283 27044 33805 40566 67610 81132 101415 135220 169025 202830 338050 405660 507075 676100 1014150 2028300