Search a number
-
+
1831305320 = 235137944579
BaseRepresentation
bin110110100100111…
…1000000001101000
311201121220221121222
41231021320001220
512222303232240
6501415121212
763244560365
oct15511700150
94647827558
101831305320
1185a7a6879
12431373208
13232531220
1413530546c
15aab8deb5
hex6d278068

1831305320 has 64 divisors (see below), whose sum is σ = 4493664000. Its totient is φ = 667600128.

The previous prime is 1831305299. The next prime is 1831305337. The reversal of 1831305320 is 235031381.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 1831305320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18791 + ... + 63369.

It is an arithmetic number, because the mean of its divisors is an integer number (70213500).

Almost surely, 21831305320 is an apocalyptic number.

1831305320 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 1831305320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2246832000).

1831305320 is an abundant number, since it is smaller than the sum of its proper divisors (2662358680).

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

1831305320 is a wasteful number, since it uses less digits than its factorization.

1831305320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44682 (or 44678 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 1831305320 is about 42793.7532824593. The cubic root of 1831305320 is about 1223.4519543019.

The spelling of 1831305320 in words is "one billion, eight hundred thirty-one million, three hundred five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 79 104 130 158 260 316 395 520 632 790 1027 1580 2054 3160 4108 5135 8216 10270 20540 41080 44579 89158 178316 222895 356632 445790 579527 891580 1159054 1783160 2318108 2897635 3521741 4636216 5795270 7043482 11590540 14086964 17608705 23181080 28173928 35217410 45782633 70434820 91565266 140869640 183130532 228913165 366261064 457826330 915652660 1831305320