Search a number
-
+
30327220 = 22571147419
BaseRepresentation
bin111001110110…
…0000110110100
32010001210010101
41303230012310
530230432340
63002003444
7515530360
oct163540664
963053111
1030327220
1116134320
12a1a6584
13638ac01
1440562a0
1529e0c9a
hex1cec1b4

30327220 has 96 divisors (see below), whose sum is σ = 81285120. Its totient is φ = 9229440.

The previous prime is 30327203. The next prime is 30327221. The reversal of 30327220 is 2272303.

30327220 = T429 + T430 + ... + T638.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30327221) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 72171 + ... + 72589.

It is an arithmetic number, because the mean of its divisors is an integer number (846720).

Almost surely, 230327220 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 30327220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40642560).

30327220 is an abundant number, since it is smaller than the sum of its proper divisors (50957900).

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

30327220 is a wasteful number, since it uses less digits than its factorization.

30327220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 19.

The square root of 30327220 is about 5507.0155256727. The cubic root of 30327220 is about 311.8488885814.

Adding to 30327220 its reverse (2272303), we get a palindrome (32599523).

The spelling of 30327220 in words is "thirty million, three hundred twenty-seven thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 47 55 70 77 94 110 140 154 188 220 235 308 329 385 419 470 517 658 770 838 940 1034 1316 1540 1645 1676 2068 2095 2585 2933 3290 3619 4190 4609 5170 5866 6580 7238 8380 9218 10340 11732 14476 14665 18095 18436 19693 23045 29330 32263 36190 39386 46090 58660 64526 72380 78772 92180 98465 129052 137851 161315 196930 216623 275702 322630 393860 433246 551404 645260 689255 866492 1083115 1378510 1516361 2166230 2757020 3032722 4332460 6065444 7581805 15163610 30327220