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104540616 = 233217223383
BaseRepresentation
bin1100011101100…
…10100111001000
321021201012202200
412032302213020
5203230244431
614212400200
72406403065
oct616624710
9237635680
10104540616
1154012a04
122b016060
131887346b
14dc53c6c
15929eee6
hex63b29c8

104540616 has 96 divisors (see below), whose sum is σ = 301916160. Its totient is φ = 32564736.

The previous prime is 104540609. The next prime is 104540617. The reversal of 104540616 is 616045401.

104540616 is a `hidden beast` number, since 1 + 0 + 4 + 5 + 40 + 616 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 104540616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104540617) 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 23 ways as a sum of consecutive naturals, for example, 272761 + ... + 273143.

It is an arithmetic number, because the mean of its divisors is an integer number (3144960).

Almost surely, 2104540616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104540616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150958080).

104540616 is an abundant number, since it is smaller than the sum of its proper divisors (197375544).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

104540616 is a wasteful number, since it uses less digits than its factorization.

104540616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 628 counting only the distinct ones).

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

The square root of 104540616 is about 10224.5105506327. The cubic root of 104540616 is about 471.0803816995.

The spelling of 104540616 in words is "one hundred four million, five hundred forty thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 223 306 383 408 446 612 669 766 892 1149 1224 1338 1532 1784 2007 2298 2676 3064 3447 3791 4014 4596 5352 6511 6894 7582 8028 9192 11373 13022 13788 15164 16056 19533 22746 26044 27576 30328 34119 39066 45492 52088 58599 68238 78132 85409 90984 117198 136476 156264 170818 234396 256227 272952 341636 468792 512454 683272 768681 1024908 1451953 1537362 2049816 2903906 3074724 4355859 5807812 6149448 8711718 11615624 13067577 17423436 26135154 34846872 52270308 104540616