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2033040 = 243543197
BaseRepresentation
bin111110000010110010000
310211021210210
413300112100
51010024130
6111324120
723165142
oct7602620
93737723
102033040
1111694a9
12820640
135624a9
143acc92
152a25b0
hex1f0590

2033040 has 80 divisors (see below), whose sum is σ = 6481728. Its totient is φ = 526848.

The previous prime is 2033021. The next prime is 2033041. The reversal of 2033040 is 403302.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2033041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10222 + ... + 10418.

22033040 is an apocalyptic number.

2033040 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 2033040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3240864).

2033040 is an abundant number, since it is smaller than the sum of its proper divisors (4448688).

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

2033040 is a wasteful number, since it uses less digits than its factorization.

2033040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 2033040 is about 1425.8471166293. The cubic root of 2033040 is about 126.6821156903.

Adding to 2033040 its reverse (403302), we get a palindrome (2436342).

The spelling of 2033040 in words is "two million, thirty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 43 48 60 80 86 120 129 172 197 215 240 258 344 394 430 516 591 645 688 788 860 985 1032 1182 1290 1576 1720 1970 2064 2364 2580 2955 3152 3440 3940 4728 5160 5910 7880 8471 9456 10320 11820 15760 16942 23640 25413 33884 42355 47280 50826 67768 84710 101652 127065 135536 169420 203304 254130 338840 406608 508260 677680 1016520 2033040