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7083741 = 37714751
BaseRepresentation
bin11011000001011011011101
3111022220001210
4123001123131
53303134431
6411455033
7114132210
oct33013335
914286053
107083741
113aa9135
122457479
131610382
14d25777
1594dd46
hex6c16dd

7083741 has 16 divisors (see below), whose sum is σ = 10948608. Its totient is φ = 3990000.

The previous prime is 7083737. The next prime is 7083757. The reversal of 7083741 is 1473807.

It is a happy number.

7083741 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 7083741 - 22 = 7083737 is a prime.

It is a super-3 number, since 3×70837413 (a number of 22 digits) contains 333 as substring.

7083741 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 7083699 and 7083708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7083341) 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 15 ways as a sum of consecutive naturals, for example, 885 + ... + 3866.

It is an arithmetic number, because the mean of its divisors is an integer number (684288).

Almost surely, 27083741 is an apocalyptic number.

7083741 is a gapful number since it is divisible by the number (71) formed by its first and last digit.

It is an amenable number.

7083741 is a deficient number, since it is larger than the sum of its proper divisors (3864867).

7083741 is a wasteful number, since it uses less digits than its factorization.

7083741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4832.

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 7083741 is about 2661.5298232408. The cubic root of 7083741 is about 192.0529096804.

The spelling of 7083741 in words is "seven million, eighty-three thousand, seven hundred forty-one".

Divisors: 1 3 7 21 71 213 497 1491 4751 14253 33257 99771 337321 1011963 2361247 7083741