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130714200 = 233252101719
BaseRepresentation
bin1111100101010…
…00101001011000
3100002221222011200
413302220221120
5231430323300
620545354200
73145023651
oct762505130
9302858150
10130714200
116786a571
1237938960
13211088a6
1413508528
15b720200
hex7ca8a58

130714200 has 144 divisors (see below), whose sum is σ = 443944800. Its totient is φ = 34464000.

The previous prime is 130714189. The next prime is 130714201. The reversal of 130714200 is 2417031.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130714201) 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 35 ways as a sum of consecutive naturals, for example, 181441 + ... + 182159.

It is an arithmetic number, because the mean of its divisors is an integer number (3082950).

Almost surely, 2130714200 is an apocalyptic number.

130714200 is a gapful number since it is divisible by the number (10) 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 130714200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221972400).

130714200 is an abundant number, since it is smaller than the sum of its proper divisors (313230600).

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

130714200 is a wasteful number, since it uses less digits than its factorization.

130714200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 130714200 is about 11433.0310941587. The cubic root of 130714200 is about 507.5056985294.

It can be divided in two parts, 13071 and 4200, that added together give a palindrome (17271).

The spelling of 130714200 in words is "one hundred thirty million, seven hundred fourteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 101 120 150 180 200 202 225 300 303 360 404 450 505 600 606 719 808 900 909 1010 1212 1438 1515 1800 1818 2020 2157 2424 2525 2876 3030 3595 3636 4040 4314 4545 5050 5752 6060 6471 7190 7272 7575 8628 9090 10100 10785 12120 12942 14380 15150 17256 17975 18180 20200 21570 22725 25884 28760 30300 32355 35950 36360 43140 45450 51768 53925 60600 64710 71900 72619 86280 90900 107850 129420 143800 145238 161775 181800 215700 217857 258840 290476 323550 363095 431400 435714 580952 647100 653571 726190 871428 1089285 1294200 1307142 1452380 1742856 1815475 2178570 2614284 2904760 3267855 3630950 4357140 5228568 5446425 6535710 7261900 8714280 10892850 13071420 14523800 16339275 21785700 26142840 32678550 43571400 65357100 130714200