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2097000 = 233253233
BaseRepresentation
bin111111111111101101000
310221112112200
413333331220
51014101000
6112540200
723552463
oct7777550
93845480
102097000
111202564
12851660
13585639
143c82da
152b6500
hex1fff68

2097000 has 96 divisors (see below), whose sum is σ = 7118280. Its totient is φ = 556800.

The previous prime is 2096993. The next prime is 2097013. The reversal of 2097000 is 7902.

It can be written as a sum of positive squares in 4 ways, for example, as 338724 + 1758276 = 582^2 + 1326^2 .

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is a nialpdrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8884 + ... + 9116.

22097000 is an apocalyptic number.

2097000 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 2097000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3559140).

2097000 is an abundant number, since it is smaller than the sum of its proper divisors (5021280).

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

2097000 is a wasteful number, since it uses less digits than its factorization.

2097000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 2097000 is about 1448.1022063377. The cubic root of 2097000 is about 127.9969074774.

It can be divided in two parts, 20 and 97000, that added together give a triangular number (97020 = T440).

The spelling of 2097000 in words is "two million, ninety-seven thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 233 250 300 360 375 450 466 500 600 699 750 900 932 1000 1125 1165 1398 1500 1800 1864 2097 2250 2330 2796 3000 3495 4194 4500 4660 5592 5825 6990 8388 9000 9320 10485 11650 13980 16776 17475 20970 23300 27960 29125 34950 41940 46600 52425 58250 69900 83880 87375 104850 116500 139800 174750 209700 233000 262125 349500 419400 524250 699000 1048500 2097000