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104382513 = 3429371201
BaseRepresentation
bin1100011100011…
…00000000110001
321021102011220000
412032030000301
5203210220023
614205140213
72405144124
oct616140061
9237364800
10104382513
1153a15144
122ab5a669
1318819501
14dc123bb
15926d243
hex638c031

104382513 has 40 divisors (see below), whose sum is σ = 165803880. Its totient is φ = 65318400.

The previous prime is 104382497. The next prime is 104382517. The reversal of 104382513 is 315283401.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6906384 + 97476129 = 2628^2 + 9873^2 .

It is not a de Polignac number, because 104382513 - 24 = 104382497 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (104382517) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 86313 + ... + 87513.

It is an arithmetic number, because the mean of its divisors is an integer number (4145097).

Almost surely, 2104382513 is an apocalyptic number.

It is an amenable number.

104382513 is a deficient number, since it is larger than the sum of its proper divisors (61421367).

104382513 is a wasteful number, since it uses less digits than its factorization.

104382513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1279 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 104382513 is about 10216.7760570544. The cubic root of 104382513 is about 470.8427809070.

The spelling of 104382513 in words is "one hundred four million, three hundred eighty-two thousand, five hundred thirteen".

Divisors: 1 3 9 27 29 37 81 87 111 261 333 783 999 1073 1201 2349 2997 3219 3603 9657 10809 28971 32427 34829 44437 86913 97281 104487 133311 313461 399933 940383 1199799 1288673 2821149 3599397 3866019 11598057 34794171 104382513