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424104100 = 2252717157227
BaseRepresentation
bin11001010001110…
…101000010100100
31002120000201110021
4121101311002210
51332032312400
6110030004524
713336553050
oct3121650244
91076021407
10424104100
111a8439762
12ba046744
1369b30a94
144047ac60
152737571a
hex194750a4

424104100 has 144 divisors (see below), whose sum is σ = 1125677952. Its totient is φ = 135383040.

The previous prime is 424104097. The next prime is 424104103. The reversal of 424104100 is 1401424.

It is an interprime number because it is at equal distance from previous prime (424104097) and next prime (424104103).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424104103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1868187 + ... + 1868413.

It is an arithmetic number, because the mean of its divisors is an integer number (7817208).

Almost surely, 2424104100 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 424104100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562838976).

424104100 is an abundant number, since it is smaller than the sum of its proper divisors (701573852).

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

424104100 is a wasteful number, since it uses less digits than its factorization.

424104100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 424104100 is about 20593.7878982959. The cubic root of 424104100 is about 751.3186284149.

Adding to 424104100 its reverse (1401424), we get a palindrome (425505524).

The spelling of 424104100 in words is "four hundred twenty-four million, one hundred four thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 17 20 25 28 34 35 50 68 70 85 100 119 140 157 170 175 227 238 314 340 350 425 454 476 595 628 700 785 850 908 1099 1135 1190 1570 1589 1700 2198 2270 2380 2669 2975 3140 3178 3859 3925 4396 4540 5338 5495 5675 5950 6356 7718 7850 7945 10676 10990 11350 11900 13345 15436 15700 15890 18683 19295 21980 22700 26690 27013 27475 31780 35639 37366 38590 39725 53380 54026 54950 66725 71278 74732 77180 79450 93415 96475 108052 109900 133450 135065 142556 158900 178195 186830 192950 249473 266900 270130 356390 373660 385900 467075 498946 540260 605863 675325 712780 890975 934150 997892 1211726 1247365 1350650 1781950 1868300 2423452 2494730 2701300 3029315 3563900 4241041 4989460 6058630 6236825 8482082 12117260 12473650 15146575 16964164 21205205 24947300 30293150 42410410 60586300 84820820 106026025 212052050 424104100