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2109400 = 235253199
BaseRepresentation
bin1000000010111111011000
310222011112221
420002333120
51020000100
6113113424
723633566
oct10027730
93864487
102109400
111210907
12858874
1358b187
143cca36
152ba01a
hex202fd8

2109400 has 48 divisors (see below), whose sum is σ = 5022000. Its totient is φ = 823680.

The previous prime is 2109391. The next prime is 2109403. The reversal of 2109400 is 49012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2109403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10501 + ... + 10699.

It is an arithmetic number, because the mean of its divisors is an integer number (104625).

22109400 is an apocalyptic number.

2109400 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 2109400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2511000).

2109400 is an abundant number, since it is smaller than the sum of its proper divisors (2912600).

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

2109400 is a wasteful number, since it uses less digits than its factorization.

2109400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 2109400 is about 1452.3773614319. The cubic root of 2109400 is about 128.2487026583.

The spelling of 2109400 in words is "two million, one hundred nine thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 106 199 200 212 265 398 424 530 796 995 1060 1325 1592 1990 2120 2650 3980 4975 5300 7960 9950 10547 10600 19900 21094 39800 42188 52735 84376 105470 210940 263675 421880 527350 1054700 2109400