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30780200 = 23521117823
BaseRepresentation
bin111010101101…
…0101100101000
32010220210111102
41311122230220
530334431300
63015420532
7522425123
oct165325450
963823442
1030780200
1116413690
12a384748
1364b9149
1441333ba
152a800d5
hex1d5ab28

30780200 has 96 divisors (see below), whose sum is σ = 82762560. Its totient is φ = 10521600.

The previous prime is 30780199. The next prime is 30780203. The reversal of 30780200 is 208703.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (30780203) 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 23 ways as a sum of consecutive naturals, for example, 36989 + ... + 37811.

It is an arithmetic number, because the mean of its divisors is an integer number (862110).

Almost surely, 230780200 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 30780200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41381280).

30780200 is an abundant number, since it is smaller than the sum of its proper divisors (51982360).

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

30780200 is a wasteful number, since it uses less digits than its factorization.

30780200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 30780200 is about 5547.9906272451. The cubic root of 30780200 is about 313.3938568262.

Adding to 30780200 its reverse (208703), we get a palindrome (30988903).

The spelling of 30780200 in words is "thirty million, seven hundred eighty thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 17 20 22 25 34 40 44 50 55 68 85 88 100 110 136 170 187 200 220 275 340 374 425 440 550 680 748 823 850 935 1100 1496 1646 1700 1870 2200 3292 3400 3740 4115 4675 6584 7480 8230 9053 9350 13991 16460 18106 18700 20575 27982 32920 36212 37400 41150 45265 55964 69955 72424 82300 90530 111928 139910 153901 164600 181060 226325 279820 307802 349775 362120 452650 559640 615604 699550 769505 905300 1231208 1399100 1539010 1810600 2798200 3078020 3847525 6156040 7695050 15390100 30780200