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104400660 = 223571319121
BaseRepresentation
bin1100011100100…
…00011100010100
321021110002210010
412032100130110
5203211310120
614205400220
72405251050
oct616203424
9237402703
10104400660
1153a27841
122ab69070
1318824850
14dc18c60
1592737e0
hex6390714

104400660 has 96 divisors (see below), whose sum is σ = 359799552. Its totient is φ = 22026240.

The previous prime is 104400629. The next prime is 104400661. The reversal of 104400660 is 66004401.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104400661) by changing a digit.

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, 4101 + ... + 15020.

It is an arithmetic number, because the mean of its divisors is an integer number (3747912).

Almost surely, 2104400660 is an apocalyptic number.

104400660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104400660 is an abundant number, since it is smaller than the sum of its proper divisors (255398892).

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

104400660 is a wasteful number, since it uses less digits than its factorization.

104400660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19153 (or 19151 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 104400660 is about 10217.6641166169. The cubic root of 104400660 is about 470.8700648156.

The spelling of 104400660 in words is "one hundred four million, four hundred thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 52 60 65 70 78 84 91 105 130 140 156 182 195 210 260 273 364 390 420 455 546 780 910 1092 1365 1820 2730 5460 19121 38242 57363 76484 95605 114726 133847 191210 229452 248573 267694 286815 382420 401541 497146 535388 573630 669235 745719 803082 994292 1147260 1242865 1338470 1491438 1606164 1740011 2007705 2485730 2676940 2982876 3480022 3728595 4015410 4971460 5220033 6960044 7457190 8030820 8700055 10440066 14914380 17400110 20880132 26100165 34800220 52200330 104400660