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2980993 is a prime number
BaseRepresentation
bin1011010111110010000001
312121110011011
423113302001
51230342433
6143520521
734223641
oct13276201
95543134
102980993
111756734
12bb9141
13804b02
14578521
153dd3cd
hex2d7c81

2980993 has 2 divisors, whose sum is σ = 2980994. Its totient is φ = 2980992.

The previous prime is 2980981. The next prime is 2981021. The reversal of 2980993 is 3990892.

It is a happy number.

2980993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1710864 + 1270129 = 1308^2 + 1127^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2980993 is a prime.

2980993 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (2980903) 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, 1490496 + 1490497.

It is an arithmetic number, because the mean of its divisors is an integer number (1490497).

22980993 is an apocalyptic number.

It is an amenable number.

2980993 is a deficient number, since it is larger than the sum of its proper divisors (1).

2980993 is an equidigital number, since it uses as much as digits as its factorization.

2980993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34992, while the sum is 40.

The square root of 2980993 is about 1726.5552409350. Note that the first 3 decimals coincide. The cubic root of 2980993 is about 143.9197244187.

The spelling of 2980993 in words is "two million, nine hundred eighty thousand, nine hundred ninety-three".