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104656541 = 1119618209
BaseRepresentation
bin1100011110011…
…10111010011101
321021221002210012
412033032322131
5203243002131
614215053005
72410365053
oct617167235
9237832705
10104656541
1154092010
122b071165
13188b4162
14dc841d3
1592c452b
hex63cee9d

104656541 has 16 divisors (see below), whose sum is σ = 122164800. Its totient is φ = 88646400.

The previous prime is 104656529. The next prime is 104656543. The reversal of 104656541 is 145656401.

It is not a de Polignac number, because 104656541 - 214 = 104640157 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 104656498 and 104656507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104656543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8645 + ... + 16853.

It is an arithmetic number, because the mean of its divisors is an integer number (7635300).

Almost surely, 2104656541 is an apocalyptic number.

104656541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

104656541 is a deficient number, since it is larger than the sum of its proper divisors (17508259).

104656541 is a wasteful number, since it uses less digits than its factorization.

104656541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8300.

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 104656541 is about 10230.1779554414. The cubic root of 104656541 is about 471.2544442540.

The spelling of 104656541 in words is "one hundred four million, six hundred fifty-six thousand, five hundred forty-one".

Divisors: 1 11 19 61 209 671 1159 8209 12749 90299 155971 500749 1715681 5508239 9514231 104656541