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104021424 = 243213181307
BaseRepresentation
bin1100011001100…
…11110110110000
321020201211120100
412030303312300
5203112141144
614153312400
72402111313
oct614636660
9236654510
10104021424
1153798921
122aa05700
1318721050
14db5a97a
1591eb269
hex6333db0

104021424 has 120 divisors (see below), whose sum is σ = 316267952. Its totient is φ = 31726080.

The previous prime is 104021417. The next prime is 104021431. The reversal of 104021424 is 424120401.

It is an interprime number because it is at equal distance from previous prime (104021417) and next prime (104021431).

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 = 104021397 and 104021406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 338679 + ... + 338985.

Almost surely, 2104021424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104021424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158133976).

104021424 is an abundant number, since it is smaller than the sum of its proper divisors (212246528).

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

104021424 is a wasteful number, since it uses less digits than its factorization.

104021424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 506 counting only the distinct ones).

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

The square root of 104021424 is about 10199.0893711154. The cubic root of 104021424 is about 470.2992269901.

Adding to 104021424 its reverse (424120401), we get a palindrome (528141825).

The spelling of 104021424 in words is "one hundred four million, twenty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 181 208 234 307 312 362 468 543 614 624 724 921 936 1086 1228 1448 1629 1842 1872 2172 2353 2456 2763 2896 3258 3684 3991 4344 4706 4912 5526 6516 7059 7368 7982 8688 9412 11052 11973 13032 14118 14736 15964 18824 21177 22104 23946 26064 28236 31928 35919 37648 42354 44208 47892 55567 56472 63856 71838 84708 95784 111134 112944 143676 166701 169416 191568 222268 287352 333402 338832 444536 500103 574704 666804 722371 889072 1000206 1333608 1444742 2000412 2167113 2667216 2889484 4000824 4334226 5778968 6501339 8001648 8668452 11557936 13002678 17336904 26005356 34673808 52010712 104021424