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7680753 = 321722953
BaseRepresentation
bin11101010011001011110001
3112110020000100
4131103023301
53431241003
6432343013
7122166603
oct35231361
915406010
107680753
114376733
1226a4a69
13178c032
14103d173
15a1aba3
hex7532f1

7680753 has 18 divisors (see below), whose sum is σ = 11789414. Its totient is φ = 4817664.

The previous prime is 7680733. The next prime is 7680763. The reversal of 7680753 is 3570867.

It can be written as a sum of positive squares in 3 ways, for example, as 4397409 + 3283344 = 2097^2 + 1812^2 .

It is not a de Polignac number, because 7680753 - 214 = 7664369 is a prime.

It is a super-3 number, since 3×76807533 (a number of 22 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7680733) 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 17 ways as a sum of consecutive naturals, for example, 1125 + ... + 4077.

Almost surely, 27680753 is an apocalyptic number.

It is an amenable number.

7680753 is a deficient number, since it is larger than the sum of its proper divisors (4108661).

7680753 is a wasteful number, since it uses less digits than its factorization.

7680753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2993 (or 2973 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 7680753 is about 2771.4171465155. The cubic root of 7680753 is about 197.3034138527.

The spelling of 7680753 in words is "seven million, six hundred eighty thousand, seven hundred fifty-three".

Divisors: 1 3 9 17 51 153 289 867 2601 2953 8859 26577 50201 150603 451809 853417 2560251 7680753