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104418468 = 2232711139271
BaseRepresentation
bin1100011100101…
…00110010100100
321021111000012200
412032110302210
5203212342333
614210014500
72405354010
oct616246244
9237430180
10104418468
1153a3a160
122ab77430
131882c99b
14dc21540
159278c13
hex6394ca4

104418468 has 144 divisors (see below), whose sum is σ = 332666880. Its totient is φ = 26827200.

The previous prime is 104418467. The next prime is 104418481. The reversal of 104418468 is 864814401.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104418467) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 385173 + ... + 385443.

Almost surely, 2104418468 is an apocalyptic number.

104418468 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104418468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166333440).

104418468 is an abundant number, since it is smaller than the sum of its proper divisors (228248412).

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

104418468 is a wasteful number, since it uses less digits than its factorization.

104418468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 104418468 is about 10218.5355115104. The cubic root of 104418468 is about 470.8968359663.

The spelling of 104418468 in words is "one hundred four million, four hundred eighteen thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 139 154 198 231 252 271 278 308 396 417 462 542 556 693 813 834 924 973 1084 1251 1386 1529 1626 1668 1897 1946 2439 2502 2772 2919 2981 3058 3252 3794 3892 4587 4878 5004 5691 5838 5962 6116 7588 8757 8943 9174 9756 10703 11382 11676 11924 13761 17073 17514 17886 18348 20867 21406 22764 26829 27522 32109 34146 35028 35772 37669 41734 42812 53658 55044 62601 64218 68292 75338 83468 96327 107316 113007 125202 128436 150676 187803 192654 226014 250404 263683 339021 375606 385308 414359 452028 527366 678042 751212 791049 828718 1054732 1243077 1356084 1582098 1657436 2373147 2486154 2900513 3164196 3729231 4746294 4972308 5801026 7458462 8701539 9492588 11602052 14916924 17403078 26104617 34806156 52209234 104418468