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2091000 = 233531741
BaseRepresentation
bin111111110011111111000
310221020022110
413332133320
51013403000
6112452320
723526132
oct7763770
93836273
102091000
1111a8aaa
1284a0a0
135829a2
143c6052
152b4850
hex1fe7f8

2091000 has 128 divisors (see below), whose sum is σ = 7076160. Its totient is φ = 512000.

The previous prime is 2090989. The next prime is 2091053. The reversal of 2091000 is 1902.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a zygodrome in base 2.

It is a congruent number.

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, 50980 + ... + 51020.

22091000 is an apocalyptic number.

2091000 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 2091000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3538080).

2091000 is an abundant number, since it is smaller than the sum of its proper divisors (4985160).

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

2091000 is a wasteful number, since it uses less digits than its factorization.

2091000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 2091000 is about 1446.0290453514. The cubic root of 2091000 is about 127.8747146513.

Adding to 2091000 its reverse (1902), we get a palindrome (2092902).

The spelling of 2091000 in words is "two million, ninety-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 25 30 34 40 41 50 51 60 68 75 82 85 100 102 120 123 125 136 150 164 170 200 204 205 246 250 255 300 328 340 375 408 410 425 492 500 510 600 615 680 697 750 820 850 984 1000 1020 1025 1230 1275 1394 1500 1640 1700 2040 2050 2091 2125 2460 2550 2788 3000 3075 3400 3485 4100 4182 4250 4920 5100 5125 5576 6150 6375 6970 8200 8364 8500 10200 10250 10455 12300 12750 13940 15375 16728 17000 17425 20500 20910 24600 25500 27880 30750 34850 41000 41820 51000 52275 61500 69700 83640 87125 104550 123000 139400 174250 209100 261375 348500 418200 522750 697000 1045500 2091000