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2097800 = 235217617
BaseRepresentation
bin1000000000001010001000
310221120122022
420000022020
51014112200
6112544012
723555015
oct10001210
93846568
102097800
111203121
12852008
13585b03
143c870c
152b6885
hex200288

2097800 has 48 divisors (see below), whose sum is σ = 5172660. Its totient is φ = 788480.

The previous prime is 2097787. The next prime is 2097803. The reversal of 2097800 is 87902.

It can be written as a sum of positive squares in 6 ways, for example, as 454276 + 1643524 = 674^2 + 1282^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2097800.

It is not an unprimeable number, because it can be changed into a prime (2097803) 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, 3092 + ... + 3708.

22097800 is an apocalyptic number.

2097800 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 2097800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2586330).

2097800 is an abundant number, since it is smaller than the sum of its proper divisors (3074860).

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

2097800 is a wasteful number, since it uses less digits than its factorization.

2097800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 2097800 is about 1448.3784035949. The cubic root of 2097800 is about 128.0131822361.

The spelling of 2097800 in words is "two million, ninety-seven thousand, eight hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 617 680 850 1234 1700 2468 3085 3400 4936 6170 10489 12340 15425 20978 24680 30850 41956 52445 61700 83912 104890 123400 209780 262225 419560 524450 1048900 2097800