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2121000 = 233537101
BaseRepresentation
bin1000000101110100101000
310222202110120
420011310220
51020333000
6113243240
724012450
oct10056450
93882416
102121000
1112195a2
12863520
1359353b
143d2d60
152bd6a0
hex205d28

2121000 has 128 divisors (see below), whose sum is σ = 7637760. Its totient is φ = 480000.

The previous prime is 2120981. The next prime is 2121011. The reversal of 2121000 is 1212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2121000.

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, 20950 + ... + 21050.

It is an arithmetic number, because the mean of its divisors is an integer number (59670).

22121000 is an apocalyptic number.

2121000 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 2121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3818880).

2121000 is an abundant number, since it is smaller than the sum of its proper divisors (5516760).

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

2121000 is a wasteful number, since it uses less digits than its factorization.

2121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 2121000 is about 1456.3653387801. The cubic root of 2121000 is about 128.4833612072.

Adding to 2121000 its reverse (1212), we get a palindrome (2122212).

The spelling of 2121000 in words is "two million, one hundred twenty-one thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 101 105 120 125 140 150 168 175 200 202 210 250 280 300 303 350 375 404 420 500 505 525 600 606 700 707 750 808 840 875 1000 1010 1050 1212 1400 1414 1500 1515 1750 2020 2100 2121 2424 2525 2625 2828 3000 3030 3500 3535 4040 4200 4242 5050 5250 5656 6060 7000 7070 7575 8484 10100 10500 10605 12120 12625 14140 15150 16968 17675 20200 21000 21210 25250 28280 30300 35350 37875 42420 50500 53025 60600 70700 75750 84840 88375 101000 106050 141400 151500 176750 212100 265125 303000 353500 424200 530250 707000 1060500 2121000