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8130200 = 2352135359
BaseRepresentation
bin11111000000111010011000
3120022001112112
4133000322120
54040131300
6450131452
7126051131
oct37007230
916261475
108130200
114653381
122880b88
1318b8790
141118c88
15aa8e35
hex7c0e98

8130200 has 96 divisors (see below), whose sum is σ = 21092400. Its totient is φ = 2895360.

The previous prime is 8130193. The next prime is 8130251. The reversal of 8130200 is 20318.

It is a super-2 number, since 2×81302002 = 132200304080000, which contains 22 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 137771 + ... + 137829.

Almost surely, 28130200 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 8130200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10546200).

8130200 is an abundant number, since it is smaller than the sum of its proper divisors (12962200).

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

8130200 is a wasteful number, since it uses less digits than its factorization.

8130200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 8130200 is about 2851.3505571922. The cubic root of 8130200 is about 201.0791665247.

Adding to 8130200 its reverse (20318), we get a palindrome (8150518).

The spelling of 8130200 in words is "eight million, one hundred thirty thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 53 59 65 100 104 106 118 130 200 212 236 260 265 295 325 424 472 520 530 590 650 689 767 1060 1180 1300 1325 1378 1475 1534 2120 2360 2600 2650 2756 2950 3068 3127 3445 3835 5300 5512 5900 6136 6254 6890 7670 10600 11800 12508 13780 15340 15635 17225 19175 25016 27560 30680 31270 34450 38350 40651 62540 68900 76700 78175 81302 125080 137800 153400 156350 162604 203255 312700 325208 406510 625400 813020 1016275 1626040 2032550 4065100 8130200