Search a number
-
+
31813830 = 23352347109
BaseRepresentation
bin111100101011…
…1000011000110
32012212022101000
41321113003012
531121020310
63053514130
7534261456
oct171270306
965768330
1031813830
1116a5a224
12a7a2946
13678b769
144321d66
152bd64c0
hex1e570c6

31813830 has 128 divisors (see below), whose sum is σ = 91238400. Its totient is φ = 7869312.

The previous prime is 31813819. The next prime is 31813861. The reversal of 31813830 is 3831813.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 31813794 and 31813803.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 291816 + ... + 291924.

It is an arithmetic number, because the mean of its divisors is an integer number (712800).

Almost surely, 231813830 is an apocalyptic number.

31813830 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31813830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45619200).

31813830 is an abundant number, since it is smaller than the sum of its proper divisors (59424570).

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

31813830 is a wasteful number, since it uses less digits than its factorization.

31813830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 31813830 is about 5640.3749875341. The cubic root of 31813830 is about 316.8633324369.

The spelling of 31813830 in words is "thirty-one million, eight hundred thirteen thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 47 54 69 90 94 109 115 135 138 141 207 218 230 235 270 282 327 345 414 423 470 545 621 654 690 705 846 981 1035 1081 1090 1242 1269 1410 1635 1962 2070 2115 2162 2507 2538 2943 3105 3243 3270 4230 4905 5014 5123 5405 5886 6210 6345 6486 7521 9729 9810 10246 10810 12535 12690 14715 15042 15369 16215 19458 22563 25070 25615 29187 29430 30738 32430 37605 45126 46107 48645 51230 58374 67689 75210 76845 92214 97290 112815 117829 135378 138321 145935 153690 225630 230535 235658 276642 291870 338445 353487 461070 589145 676890 691605 706974 1060461 1178290 1383210 1767435 2120922 3181383 3534870 5302305 6362766 10604610 15906915 31813830