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2128140 = 223357563
BaseRepresentation
bin1000000111100100001100
311000010021000
420013210030
51021100030
6113340300
724042330
oct10074414
94003230
102128140
1112239a3
12867690
13596871
143d57c0
152c0860
hex20790c

2128140 has 96 divisors (see below), whose sum is σ = 7580160. Its totient is φ = 485568.

The previous prime is 2128103. The next prime is 2128153. The reversal of 2128140 is 418212.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3499 + ... + 4061.

It is an arithmetic number, because the mean of its divisors is an integer number (78960).

22128140 is an apocalyptic number.

2128140 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 2128140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3790080).

2128140 is an abundant number, since it is smaller than the sum of its proper divisors (5452020).

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

2128140 is a wasteful number, since it uses less digits than its factorization.

2128140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 2128140 is about 1458.8145872591. The cubic root of 2128140 is about 128.6273724796.

It can be divided in two parts, 21281 and 40, that added together give a triangular number (21321 = T206).

The spelling of 2128140 in words is "two million, one hundred twenty-eight thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 563 630 756 945 1126 1260 1689 1890 2252 2815 3378 3780 3941 5067 5630 6756 7882 8445 10134 11260 11823 15201 15764 16890 19705 20268 23646 25335 30402 33780 35469 39410 47292 50670 59115 60804 70938 76005 78820 101340 106407 118230 141876 152010 177345 212814 236460 304020 354690 425628 532035 709380 1064070 2128140