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104377416 = 2331113171789
BaseRepresentation
bin1100011100010…
…10110001001000
321021101220220020
412032022301020
5203210034131
614205100440
72405123223
oct616126110
9237356806
10104377416
1153a11330
122ab57720
13188170b0
14dc105ba
15926b996
hex638ac48

104377416 has 128 divisors (see below), whose sum is σ = 324777600. Its totient is φ = 27463680.

The previous prime is 104377387. The next prime is 104377421. The reversal of 104377416 is 614773401.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 57450 + ... + 59238.

It is an arithmetic number, because the mean of its divisors is an integer number (2537325).

Almost surely, 2104377416 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 104377416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162388800).

104377416 is an abundant number, since it is smaller than the sum of its proper divisors (220400184).

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

104377416 is a wasteful number, since it uses less digits than its factorization.

104377416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1839 (or 1835 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 104377416 is about 10216.5266113293. The cubic root of 104377416 is about 470.8351170284.

The spelling of 104377416 in words is "one hundred four million, three hundred seventy-seven thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 13 17 22 24 26 33 34 39 44 51 52 66 68 78 88 102 104 132 136 143 156 187 204 221 264 286 312 374 408 429 442 561 572 663 748 858 884 1122 1144 1326 1496 1716 1768 1789 2244 2431 2652 3432 3578 4488 4862 5304 5367 7156 7293 9724 10734 14312 14586 19448 19679 21468 23257 29172 30413 39358 42936 46514 58344 59037 60826 69771 78716 91239 93028 118074 121652 139542 157432 182478 186056 236148 243304 255827 279084 334543 364956 395369 472296 511654 558168 669086 729912 767481 790738 1003629 1023308 1186107 1338172 1534962 1581476 2007258 2046616 2372214 2676344 3069924 3162952 4014516 4349059 4744428 6139848 8029032 8698118 9488856 13047177 17396236 26094354 34792472 52188708 104377416