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2533080 = 23351119101
BaseRepresentation
bin1001101010011011011000
311202200201210
421222123120
51122024310
6130143120
730350034
oct11523330
94680653
102533080
111480160
12a21aa0
136a8c84
1449d1c4
15350820
hex26a6d8

2533080 has 128 divisors (see below), whose sum is σ = 8812800. Its totient is φ = 576000.

The previous prime is 2533049. The next prime is 2533081. The reversal of 2533080 is 803352.

2533080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2533081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25030 + ... + 25130.

It is an arithmetic number, because the mean of its divisors is an integer number (68850).

22533080 is an apocalyptic number.

2533080 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 2533080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4406400).

2533080 is an abundant number, since it is smaller than the sum of its proper divisors (6279720).

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

2533080 is a wasteful number, since it uses less digits than its factorization.

2533080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 2533080 is about 1591.5652672762. The cubic root of 2533080 is about 136.3168793231.

It can be divided in two parts, 253 and 3080, that added together give a palindrome (3333).

The spelling of 2533080 in words is "two million, five hundred thirty-three thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 19 20 22 24 30 33 38 40 44 55 57 60 66 76 88 95 101 110 114 120 132 152 165 190 202 209 220 228 264 285 303 330 380 404 418 440 456 505 570 606 627 660 760 808 836 1010 1045 1111 1140 1212 1254 1320 1515 1672 1919 2020 2090 2222 2280 2424 2508 3030 3135 3333 3838 4040 4180 4444 5016 5555 5757 6060 6270 6666 7676 8360 8888 9595 11110 11514 12120 12540 13332 15352 16665 19190 21109 22220 23028 25080 26664 28785 33330 38380 42218 44440 46056 57570 63327 66660 76760 84436 105545 115140 126654 133320 168872 211090 230280 253308 316635 422180 506616 633270 844360 1266540 2533080