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7980093 = 331197277
BaseRepresentation
bin11110011100010000111101
3120000102122000
4132130100331
54020330333
6443012513
7124554402
oct36342075
916012560
107980093
114560620
12280a139
131865364
1410ba2a9
15a79713
hex79c43d

7980093 has 32 divisors (see below), whose sum is σ = 13077120. Its totient is φ = 4769280.

The previous prime is 7980067. The next prime is 7980101. The reversal of 7980093 is 3900897.

It is not a de Polignac number, because 7980093 - 25 = 7980061 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 (7980013) 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 31 ways as a sum of consecutive naturals, for example, 28671 + ... + 28947.

It is an arithmetic number, because the mean of its divisors is an integer number (408660).

Almost surely, 27980093 is an apocalyptic number.

It is an amenable number.

7980093 is a deficient number, since it is larger than the sum of its proper divisors (5097027).

7980093 is a wasteful number, since it uses less digits than its factorization.

7980093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 7980093 is about 2824.9058391387. The cubic root of 7980093 is about 199.8339705426.

It can be divided in two parts, 7 and 980093, that added together give a square (980100 = 9902).

The spelling of 7980093 in words is "seven million, nine hundred eighty thousand, ninety-three".

Divisors: 1 3 9 11 27 33 97 99 277 291 297 831 873 1067 2493 2619 3047 3201 7479 9141 9603 26869 27423 28809 80607 82269 241821 295559 725463 886677 2660031 7980093