Search a number
-
+
410131420 = 22543592137
BaseRepresentation
bin11000011100100…
…001101111011100
31001120201211112121
4120130201233130
51314443201140
6104410312324
713110026266
oct3034415734
91046654477
10410131420
111a0565896
12b54286a4
1366c7ac1a
143c680b36
152601564a
hex18721bdc

410131420 has 72 divisors (see below), whose sum is σ = 903039984. Its totient is φ = 156371712.

The previous prime is 410131399. The next prime is 410131453. The reversal of 410131420 is 24131014.

It is a junction number, because it is equal to n+sod(n) for n = 410131394 and 410131403.

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, 2993592 + ... + 2993728.

It is an arithmetic number, because the mean of its divisors is an integer number (12542222).

Almost surely, 2410131420 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 410131420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451519992).

410131420 is an abundant number, since it is smaller than the sum of its proper divisors (492908564).

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

410131420 is a wasteful number, since it uses less digits than its factorization.

410131420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 410131420 is about 20251.7016568979. The cubic root of 410131420 is about 742.9752507686.

Adding to 410131420 its reverse (24131014), we get a palindrome (434262434).

The spelling of 410131420 in words is "four hundred ten million, one hundred thirty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 43 59 86 118 137 172 215 236 274 295 430 548 590 685 860 1180 1370 2537 2740 3481 5074 5891 6962 8083 10148 11782 12685 13924 16166 17405 23564 25370 29455 32332 34810 40415 50740 58910 69620 80830 117820 149683 161660 299366 347569 476897 598732 695138 748415 953794 1390276 1496830 1737845 1907588 2384485 2993660 3475690 4768970 6951380 9537940 20506571 41013142 82026284 102532855 205065710 410131420