Search a number
-
+
424106980 = 2251119241421
BaseRepresentation
bin11001010001110…
…101101111100100
31002120000212101221
4121101311233210
51332032410410
6110030030124
713336564333
oct3121655744
91076025357
10424106980
111a8440940
12ba048344
1369b3219b
144047bd1a
15273764da
hex19475be4

424106980 has 96 divisors (see below), whose sum is σ = 1029409920. Its totient is φ = 145152000.

The previous prime is 424106971. The next prime is 424107011. The reversal of 424106980 is 89601424.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1007170 + ... + 1007590.

It is an arithmetic number, because the mean of its divisors is an integer number (10723020).

Almost surely, 2424106980 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 424106980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514704960).

424106980 is an abundant number, since it is smaller than the sum of its proper divisors (605302940).

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

424106980 is a wasteful number, since it uses less digits than its factorization.

424106980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 424106980 is about 20593.8578221760. The cubic root of 424106980 is about 751.3203290923.

The spelling of 424106980 in words is "four hundred twenty-four million, one hundred six thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 241 380 418 421 482 836 842 964 1045 1205 1684 2090 2105 2410 2651 4180 4210 4579 4631 4820 5302 7999 8420 9158 9262 10604 13255 15998 18316 18524 22895 23155 26510 31996 39995 45790 46310 50369 53020 79990 87989 91580 92620 100738 101461 159980 175978 201476 202922 251845 351956 405844 439945 503690 507305 879890 1007380 1014610 1116071 1759780 1927759 2029220 2232142 3855518 4464284 5580355 7711036 9638795 11160710 19277590 21205349 22321420 38555180 42410698 84821396 106026745 212053490 424106980