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30576200 = 2352172232
BaseRepresentation
bin111010010100…
…0111001001000
32010112102122212
41310220321020
530311414300
63011204252
7520615304
oct164507110
963472585
1030576200
1116294396
12a2a6688
136447335
1440bcd04
152a3e935
hex1d28e48

30576200 has 108 divisors (see below), whose sum is σ = 78943515. Its totient is φ = 11010560.

The previous prime is 30576191. The next prime is 30576229. The reversal of 30576200 is 267503.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 19909444 + 10666756 = 4462^2 + 3266^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=3910.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1329389 + ... + 1329411.

Almost surely, 230576200 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 30576200

30576200 is an abundant number, since it is smaller than the sum of its proper divisors (48367315).

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

30576200 is a wasteful number, since it uses less digits than its factorization.

30576200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 23.

The square root of 30576200 is about 5529.5750288788. The cubic root of 30576200 is about 312.6999680136.

The spelling of 30576200 in words is "thirty million, five hundred seventy-six thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 23 25 34 40 46 50 68 85 92 100 115 136 170 184 200 230 289 340 391 425 460 529 575 578 680 782 850 920 1058 1150 1156 1445 1564 1700 1955 2116 2300 2312 2645 2890 3128 3400 3910 4232 4600 5290 5780 6647 7225 7820 8993 9775 10580 11560 13225 13294 14450 15640 17986 19550 21160 26450 26588 28900 33235 35972 39100 44965 52900 53176 57800 66470 71944 78200 89930 105800 132940 152881 166175 179860 224825 265880 305762 332350 359720 449650 611524 664700 764405 899300 1223048 1329400 1528810 1798600 3057620 3822025 6115240 7644050 15288100 30576200