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104685840 = 24325720771
BaseRepresentation
bin1100011110101…
…10000100010000
321021222120222100
412033112010100
5203244421330
614215440400
72410546350
oct617260420
9237876870
10104685840
1154102026
122b086100
13188c45ac
14dc90b60
1592cd060
hex63d6110

104685840 has 120 divisors (see below), whose sum is σ = 401813568. Its totient is φ = 23927040.

The previous prime is 104685829. The next prime is 104685851. The reversal of 104685840 is 48586401.

104685840 is a `hidden beast` number, since 10 + 4 + 68 + 584 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (104685829) and next prime (104685851).

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 104685795 and 104685804.

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 23 ways as a sum of consecutive naturals, for example, 5346 + ... + 15425.

Almost surely, 2104685840 is an apocalyptic number.

104685840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104685840 is an abundant number, since it is smaller than the sum of its proper divisors (297127728).

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

104685840 is a wasteful number, since it uses less digits than its factorization.

104685840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20797 (or 20788 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 104685840 is about 10231.6098440079. The cubic root of 104685840 is about 471.2984166471.

The spelling of 104685840 in words is "one hundred four million, six hundred eighty-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 20771 41542 62313 83084 103855 124626 145397 166168 186939 207710 249252 290794 311565 332336 373878 415420 436191 498504 581588 623130 726985 747756 830840 872382 934695 997008 1163176 1246260 1308573 1453970 1495512 1661680 1744764 1869390 2180955 2326352 2492520 2617146 2907940 2991024 3489528 3738780 4361910 4985040 5234292 5815880 6542865 6979056 7477560 8723820 10468584 11631760 13085730 14955120 17447640 20937168 26171460 34895280 52342920 104685840