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2072133 = 327311061
BaseRepresentation
bin111111001111001000101
310220021102200
413321321011
51012302013
6112225113
723420130
oct7717105
93807380
102072133
111195908
1283b199
1357721b
143bd217
152ade73
hex1f9e45

2072133 has 24 divisors (see below), whose sum is σ = 3534336. Its totient is φ = 1144800.

The previous prime is 2072131. The next prime is 2072153. The reversal of 2072133 is 3312702.

It is not a de Polignac number, because 2072133 - 21 = 2072131 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2072131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1423 + ... + 2483.

It is an arithmetic number, because the mean of its divisors is an integer number (147264).

22072133 is an apocalyptic number.

It is an amenable number.

2072133 is a deficient number, since it is larger than the sum of its proper divisors (1462203).

2072133 is a wasteful number, since it uses less digits than its factorization.

2072133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 2072133 is about 1439.4905348768. The cubic root of 2072133 is about 127.4889494460.

Adding to 2072133 its reverse (3312702), we get a palindrome (5384835).

The spelling of 2072133 in words is "two million, seventy-two thousand, one hundred thirty-three".

Divisors: 1 3 7 9 21 31 63 93 217 279 651 1061 1953 3183 7427 9549 22281 32891 66843 98673 230237 296019 690711 2072133