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104458116 = 223729137313
BaseRepresentation
bin1100011100111…
…10011110000100
321021120000121010
412032132132010
5203220124431
614210522220
72405610420
oct616363604
9237500533
10104458116
1153a66a24
122ab96370
1318844a49
14dc31b80
159285846
hex639e784

104458116 has 96 divisors (see below), whose sum is σ = 291191040. Its totient is φ = 28514304.

The previous prime is 104458103. The next prime is 104458117. The reversal of 104458116 is 611854401.

It is a super-2 number, since 2×1044581162 = 21822995996538912, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (104458117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 333576 + ... + 333888.

It is an arithmetic number, because the mean of its divisors is an integer number (3033240).

Almost surely, 2104458116 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 104458116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145595520).

104458116 is an abundant number, since it is smaller than the sum of its proper divisors (186732924).

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

104458116 is a wasteful number, since it uses less digits than its factorization.

104458116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 104458116 is about 10220.4753314119. The cubic root of 104458116 is about 470.9564287298.

The spelling of 104458116 in words is "one hundred four million, four hundred fifty-eight thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 84 87 116 137 174 203 274 313 348 406 411 548 609 626 812 822 939 959 1218 1252 1644 1878 1918 2191 2436 2877 3756 3836 3973 4382 5754 6573 7946 8764 9077 11508 11919 13146 15892 18154 23838 26292 27231 27811 36308 42881 47676 54462 55622 63539 83433 85762 108924 111244 127078 128643 166866 171524 190617 254156 257286 300167 333732 381234 514572 600334 762468 900501 1200668 1243549 1801002 2487098 3602004 3730647 4974196 7461294 8704843 14922588 17409686 26114529 34819372 52229058 104458116