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7100041 = 132937509
BaseRepresentation
bin11011000101011010001001
3111100201102111
4123011122021
53304200131
6412102321
7114230554
oct33053211
914321374
107100041
11400a403
1224649a1
131617910
14d2b69b
15953ab1
hex6c5689

7100041 has 16 divisors (see below), whose sum is σ = 8139600. Its totient is φ = 6144768.

The previous prime is 7100029. The next prime is 7100059. The reversal of 7100041 is 1400017.

It can be written as a sum of positive squares in 8 ways, for example, as 319225 + 6780816 = 565^2 + 2604^2 .

It is a cyclic number.

It is not a de Polignac number, because 7100041 - 27 = 7099913 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 7099994 and 7100030.

It is not an unprimeable number, because it can be changed into a prime (7100081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13695 + ... + 14203.

It is an arithmetic number, because the mean of its divisors is an integer number (508725).

Almost surely, 27100041 is an apocalyptic number.

It is an amenable number.

7100041 is a deficient number, since it is larger than the sum of its proper divisors (1039559).

7100041 is a wasteful number, since it uses less digits than its factorization.

7100041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588.

The product of its (nonzero) digits is 28, while the sum is 13.

The square root of 7100041 is about 2664.5902123966. The cubic root of 7100041 is about 192.2001042387.

Adding to 7100041 its reverse (1400017), we get a palindrome (8500058).

The spelling of 7100041 in words is "seven million, one hundred thousand, forty-one".

Divisors: 1 13 29 37 377 481 509 1073 6617 13949 14761 18833 191893 244829 546157 7100041