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30820020 = 22357211953
BaseRepresentation
bin111010110010…
…0011010110100
32010222211010020
41311210122310
530342220040
63020325140
7522652200
oct165443264
963884106
1030820020
11164405a0
12a3a37b0
1365012ca
144143b00
152a8bcd0
hex1d646b4

30820020 has 144 divisors (see below), whose sum is σ = 109626048. Its totient is φ = 6397440.

The previous prime is 30820019. The next prime is 30820051. The reversal of 30820020 is 2002803.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 47 ways as a sum of consecutive naturals, for example, 31864 + ... + 32816.

It is an arithmetic number, because the mean of its divisors is an integer number (761292).

Almost surely, 230820020 is an apocalyptic number.

30820020 is a gapful number since it is divisible by the number (30) 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 30820020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54813024).

30820020 is an abundant number, since it is smaller than the sum of its proper divisors (78806028).

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

30820020 is a wasteful number, since it uses less digits than its factorization.

30820020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 30820020 is about 5551.5781540027. The cubic root of 30820020 is about 313.5289432972.

Adding to 30820020 its reverse (2002803), we get a palindrome (32822823).

The spelling of 30820020 in words is "thirty million, eight hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 49 55 60 66 70 77 84 98 105 110 132 140 147 154 165 196 210 220 231 245 294 308 330 385 420 462 490 539 588 660 735 770 924 953 980 1078 1155 1470 1540 1617 1906 2156 2310 2695 2859 2940 3234 3812 4620 4765 5390 5718 6468 6671 8085 9530 10483 10780 11436 13342 14295 16170 19060 20013 20966 26684 28590 31449 32340 33355 40026 41932 46697 52415 57180 62898 66710 73381 80052 93394 100065 104830 125796 133420 140091 146762 157245 186788 200130 209660 220143 233485 280182 293524 314490 366905 400260 440286 466970 513667 560364 628980 700455 733810 880572 933940 1027334 1100715 1400910 1467620 1541001 2054668 2201430 2568335 2801820 3082002 4402860 5136670 6164004 7705005 10273340 15410010 30820020