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2082753 = 362857
BaseRepresentation
bin111111100011111000001
310220211000000
413330133001
51013122003
6112350213
723463111
oct7743701
93824000
102082753
1111a2892
12845369
1357bcca
143c3041
152b21a3
hex1fc7c1

2082753 has 14 divisors (see below), whose sum is σ = 3123794. Its totient is φ = 1388016.

The previous prime is 2082749. The next prime is 2082757. The reversal of 2082753 is 3572802.

It is an interprime number because it is at equal distance from previous prime (2082749) and next prime (2082757).

It can be written as a sum of positive squares in only one way, i.e., 1896129 + 186624 = 1377^2 + 432^2 .

It is not a de Polignac number, because 2082753 - 22 = 2082749 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2082757) 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 13 ways as a sum of consecutive naturals, for example, 700 + ... + 2157.

22082753 is an apocalyptic number.

It is an amenable number.

2082753 is a deficient number, since it is larger than the sum of its proper divisors (1041041).

2082753 is an frugal number, since it uses more digits than its factorization.

2082753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2875 (or 2860 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 2082753 is about 1443.1746256084. The cubic root of 2082753 is about 127.7063785667.

The spelling of 2082753 in words is "two million, eighty-two thousand, seven hundred fifty-three".

Divisors: 1 3 9 27 81 243 729 2857 8571 25713 77139 231417 694251 2082753