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104140413 = 32137389137
BaseRepresentation
bin1100011010100…
…00111001111101
321020221212210100
412031100321331
5203124443123
614200031313
72403115236
oct615207175
9236855710
10104140413
115386a263
122aa62539
1318763260
14db8c08d
159221643
hex6350e7d

104140413 has 48 divisors (see below), whose sum is σ = 167272560. Its totient is φ = 62042112.

The previous prime is 104140411. The next prime is 104140423. The reversal of 104140413 is 314041401.

It can be written as a sum of positive squares in 8 ways, for example, as 8139609 + 96000804 = 2853^2 + 9798^2 .

It is not a de Polignac number, because 104140413 - 21 = 104140411 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 (104140411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 760081 + ... + 760217.

It is an arithmetic number, because the mean of its divisors is an integer number (3484845).

Almost surely, 2104140413 is an apocalyptic number.

104140413 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

104140413 is a deficient number, since it is larger than the sum of its proper divisors (63132147).

104140413 is a wasteful number, since it uses less digits than its factorization.

104140413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 104140413 is about 10204.9210188026. The cubic root of 104140413 is about 470.4784820852.

Adding to 104140413 its reverse (314041401), we get a palindrome (418181814).

The spelling of 104140413 in words is "one hundred four million, one hundred forty thousand, four hundred thirteen".

Divisors: 1 3 9 13 39 73 89 117 137 219 267 411 657 801 949 1157 1233 1781 2847 3471 5343 6497 8541 10001 10413 12193 16029 19491 30003 36579 58473 84461 90009 109737 130013 158509 253383 390039 475527 760149 890089 1170117 1426581 2670267 8010801 11571157 34713471 104140413