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123104016 = 2433740709
BaseRepresentation
bin1110101011001…
…10101100010000
322120122022222000
413111212230100
5223003312031
620114314000
73023236560
oct725465420
9276568860
10123104016
1163541962
1235288900
131c672a19
14124c6da0
15ac1a3e6
hex7566b10

123104016 has 80 divisors (see below), whose sum is σ = 403843200. Its totient is φ = 35171712.

The previous prime is 123103993. The next prime is 123104053. The reversal of 123104016 is 610401321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 123104016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17331 + ... + 23378.

It is an arithmetic number, because the mean of its divisors is an integer number (5048040).

Almost surely, 2123104016 is an apocalyptic number.

123104016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

123104016 is an abundant number, since it is smaller than the sum of its proper divisors (280739184).

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

123104016 is a wasteful number, since it uses less digits than its factorization.

123104016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40733 (or 40721 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 123104016 is about 11095.2249188559. The cubic root of 123104016 is about 497.4591311764.

Adding to 123104016 its reverse (610401321), we get a palindrome (733505337).

The spelling of 123104016 in words is "one hundred twenty-three million, one hundred four thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 40709 81418 122127 162836 244254 284963 325672 366381 488508 569926 651344 732762 854889 977016 1099143 1139852 1465524 1709778 1954032 2198286 2279704 2564667 2931048 3419556 4396572 4559408 5129334 5862096 6839112 7694001 8793144 10258668 13678224 15388002 17586288 20517336 30776004 41034672 61552008 123104016