Search a number
-
+
2590973 = 721121923
BaseRepresentation
bin1001111000100011111101
311212122010222
421320203331
51130402343
6131311125
731010600
oct11704375
94778128
102590973
11150a700
12a4b4a5
136c9428
144b6337
15362a68
hex2788fd

2590973 has 36 divisors (see below), whose sum is σ = 3638880. Its totient is φ = 1829520.

The previous prime is 2590943. The next prime is 2590979. The reversal of 2590973 is 3790952.

It is not a de Polignac number, because 2590973 - 26 = 2590909 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 (2590979) 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 35 ways as a sum of consecutive naturals, for example, 112640 + ... + 112662.

It is an arithmetic number, because the mean of its divisors is an integer number (101080).

22590973 is an apocalyptic number.

2590973 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2590973 is a deficient number, since it is larger than the sum of its proper divisors (1047907).

2590973 is a wasteful number, since it uses less digits than its factorization.

2590973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 35.

The square root of 2590973 is about 1609.6499619482. The cubic root of 2590973 is about 137.3475644022.

The spelling of 2590973 in words is "two million, five hundred ninety thousand, nine hundred seventy-three".

Divisors: 1 7 11 19 23 49 77 121 133 161 209 253 437 539 847 931 1127 1463 1771 2299 2783 3059 4807 5929 10241 12397 16093 19481 21413 33649 52877 112651 136367 235543 370139 2590973