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104424120 = 23335313119
BaseRepresentation
bin1100011100101…
…10001010111000
321021111021222000
412032112022320
5203213032440
614210101000
72405406333
oct616261270
9237437860
10104424120
1153a43429
122ab7a760
1318832428
14dc2361a
15927a730
hex63962b8

104424120 has 128 divisors (see below), whose sum is σ = 359424000. Its totient is φ = 26939520.

The previous prime is 104424113. The next prime is 104424139. The reversal of 104424120 is 21424401.

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

It is a junction number, because it is equal to n+sod(n) for n = 104424093 and 104424102.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 31921 + ... + 35039.

It is an arithmetic number, because the mean of its divisors is an integer number (2808000).

Almost surely, 2104424120 is an apocalyptic number.

104424120 is a gapful number since it is divisible by the number (10) 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 104424120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179712000).

104424120 is an abundant number, since it is smaller than the sum of its proper divisors (254999880).

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

104424120 is a wasteful number, since it uses less digits than its factorization.

104424120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3170 (or 3160 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 104424120 is about 10218.8120640317. The cubic root of 104424120 is about 470.9053321035.

Adding to 104424120 its reverse (21424401), we get a palindrome (125848521).

The spelling of 104424120 in words is "one hundred four million, four hundred twenty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 31 36 40 45 54 60 62 72 90 93 108 120 124 135 155 180 186 216 248 270 279 310 360 372 465 540 558 620 744 837 930 1080 1116 1240 1395 1674 1860 2232 2790 3119 3348 3720 4185 5580 6238 6696 8370 9357 11160 12476 15595 16740 18714 24952 28071 31190 33480 37428 46785 56142 62380 74856 84213 93570 96689 112284 124760 140355 168426 187140 193378 224568 280710 290067 336852 374280 386756 421065 483445 561420 580134 673704 773512 842130 870201 966890 1122840 1160268 1450335 1684260 1740402 1933780 2320536 2610603 2900670 3368520 3480804 3867560 4351005 5221206 5801340 6961608 8702010 10442412 11602680 13053015 17404020 20884824 26106030 34808040 52212060 104424120