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104424240 = 24352571693
BaseRepresentation
bin1100011100101…
…10001100110000
321021111022010110
412032112030300
5203213033430
614210101320
72405406564
oct616261460
9237438113
10104424240
1153a43528
122ab7a840
13188324bb
14dc236a4
15927a7b0
hex6396330

104424240 has 80 divisors (see below), whose sum is σ = 325166688. Its totient is φ = 27721728.

The previous prime is 104424239. The next prime is 104424241. The reversal of 104424240 is 42424401.

It is an interprime number because it is at equal distance from previous prime (104424239) and next prime (104424241).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104424241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60834 + ... + 62526.

Almost surely, 2104424240 is an apocalyptic number.

104424240 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 104424240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162583344).

104424240 is an abundant number, since it is smaller than the sum of its proper divisors (220742448).

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

104424240 is a wasteful number, since it uses less digits than its factorization.

104424240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1966 (or 1960 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 104424240 is about 10218.8179355540. The cubic root of 104424240 is about 470.9055124853.

Adding to 104424240 its reverse (42424401), we get a palindrome (146848641).

The spelling of 104424240 in words is "one hundred four million, four hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 257 514 771 1028 1285 1542 1693 2056 2570 3084 3386 3855 4112 5079 5140 6168 6772 7710 8465 10158 10280 12336 13544 15420 16930 20316 20560 25395 27088 30840 33860 40632 50790 61680 67720 81264 101580 135440 203160 406320 435101 870202 1305303 1740404 2175505 2610606 3480808 4351010 5221212 6526515 6961616 8702020 10442424 13053030 17404040 20884848 26106060 34808080 52212120 104424240