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104857116 = 223713131733
BaseRepresentation
bin1100011111111…
…11111000011100
321022022021220220
412033333320130
5203320411431
614223241340
72412161610
oct617777034
9238267826
10104857116
1154209781
122b149250
1318954540
14dcd7340
159313b96
hex63ffe1c

104857116 has 96 divisors (see below), whose sum is σ = 303840768. Its totient is φ = 27406080.

The previous prime is 104857099. The next prime is 104857121. The reversal of 104857116 is 611758401.

It is a happy number.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142686 + ... + 143418.

It is an arithmetic number, because the mean of its divisors is an integer number (3165008).

Almost surely, 2104857116 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 104857116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151920384).

104857116 is an abundant number, since it is smaller than the sum of its proper divisors (198983652).

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

104857116 is a wasteful number, since it uses less digits than its factorization.

104857116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 891 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 33.

The square root of 104857116 is about 10239.9763671602. The cubic root of 104857116 is about 471.5553062913. Note that the first 3 decimals are identical.

The spelling of 104857116 in words is "one hundred four million, eight hundred fifty-seven thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 131 156 182 262 273 364 393 524 546 733 786 917 1092 1466 1572 1703 1834 2199 2751 2932 3406 3668 4398 5109 5131 5502 6812 8796 9529 10218 10262 11004 11921 15393 19058 20436 20524 23842 28587 30786 35763 38116 47684 57174 61572 66703 71526 96023 114348 133406 143052 192046 200109 266812 288069 384092 400218 576138 672161 800436 1152276 1248299 1344322 2016483 2496598 2688644 3744897 4032966 4993196 7489794 8065932 8738093 14979588 17476186 26214279 34952372 52428558 104857116