Search a number
-
+
2029633 is a prime number
BaseRepresentation
bin111101111100001000001
310211010010121
413233201001
51004422013
6111300241
723152204
oct7574101
93733117
102029633
111166991
1281a681
13560a88
143ab93b
152a158d
hex1ef841

2029633 has 2 divisors, whose sum is σ = 2029634. Its totient is φ = 2029632.

The previous prime is 2029597. The next prime is 2029649. The reversal of 2029633 is 3369202.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1787569 + 242064 = 1337^2 + 492^2 .

It is a cyclic number.

It is not a de Polignac number, because 2029633 - 29 = 2029121 is a prime.

It is a super-2 number, since 2×20296332 = 8238820229378, which contains 22 as substring.

2029633 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 2029598 and 2029607.

It is not a weakly prime, because it can be changed into another prime (2029033) 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 as a sum of consecutive naturals, namely, 1014816 + 1014817.

It is an arithmetic number, because the mean of its divisors is an integer number (1014817).

22029633 is an apocalyptic number.

It is an amenable number.

2029633 is a deficient number, since it is larger than the sum of its proper divisors (1).

2029633 is an equidigital number, since it uses as much as digits as its factorization.

2029633 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 25.

The square root of 2029633 is about 1424.6518873044. The cubic root of 2029633 is about 126.6113108381.

It can be divided in two parts, 2029 and 633, that added together give a palindrome (2662).

The spelling of 2029633 in words is "two million, twenty-nine thousand, six hundred thirty-three".