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2128420 = 225723661
BaseRepresentation
bin1000000111101000100100
311000010122101
420013220210
51021102140
6113341444
724043210
oct10075044
94003571
102128420
111224128
12867884
13596a28
143d5940
152c099a
hex207a24

2128420 has 48 divisors (see below), whose sum is σ = 5338368. Its totient is φ = 696960.

The previous prime is 2128409. The next prime is 2128439. The reversal of 2128420 is 248212.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2890 + ... + 3550.

It is an arithmetic number, because the mean of its divisors is an integer number (111216).

22128420 is an apocalyptic number.

2128420 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 2128420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2669184).

2128420 is an abundant number, since it is smaller than the sum of its proper divisors (3209948).

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

2128420 is a wasteful number, since it uses less digits than its factorization.

2128420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 2128420 is about 1458.9105524329. The cubic root of 2128420 is about 128.6330134125.

It can be divided in two parts, 21 and 28420, that added together give a triangular number (28441 = T238).

The spelling of 2128420 in words is "two million, one hundred twenty-eight thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 230 322 460 644 661 805 1322 1610 2644 3220 3305 4627 6610 9254 13220 15203 18508 23135 30406 46270 60812 76015 92540 106421 152030 212842 304060 425684 532105 1064210 2128420