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2084040 = 233257827
BaseRepresentation
bin111111100110011001000
310220212202200
413330303020
51013142130
6112400200
723466630
oct7746310
93825680
102084040
1111a3852
12846060
1357c77a
143c36c0
152b2760
hex1fccc8

2084040 has 96 divisors (see below), whose sum is σ = 7750080. Its totient is φ = 475776.

The previous prime is 2084023. The next prime is 2084041. The reversal of 2084040 is 404802.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (2084041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2107 + ... + 2933.

It is an arithmetic number, because the mean of its divisors is an integer number (80730).

22084040 is an apocalyptic number.

2084040 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 2084040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3875040).

2084040 is an abundant number, since it is smaller than the sum of its proper divisors (5666040).

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

2084040 is a wasteful number, since it uses less digits than its factorization.

2084040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2084040 is about 1443.6204487330. The cubic root of 2084040 is about 127.7326777753.

Adding to 2084040 its reverse (404802), we get a palindrome (2488842).

The spelling of 2084040 in words is "two million, eighty-four thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 827 840 1260 1654 2481 2520 3308 4135 4962 5789 6616 7443 8270 9924 11578 12405 14886 16540 17367 19848 23156 24810 28945 29772 33080 34734 37215 46312 49620 52101 57890 59544 69468 74430 86835 99240 104202 115780 138936 148860 173670 208404 231560 260505 297720 347340 416808 521010 694680 1042020 2084040