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125000200 = 235213131367
BaseRepresentation
bin1110111001101…
…01101000001000
322201012200001001
413130311220020
5224000001300
620223104344
73045325033
oct734655010
9281180031
10125000200
1164617556
1235a420b4
131cb87b20
141285c01a
15ae9216a
hex7735a08

125000200 has 96 divisors (see below), whose sum is σ = 316229760. Its totient is φ = 45676800.

The previous prime is 125000159. The next prime is 125000203. The reversal of 125000200 is 2000521.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (125000203) 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, 340417 + ... + 340783.

It is an arithmetic number, because the mean of its divisors is an integer number (3294060).

Almost surely, 2125000200 is an apocalyptic number.

125000200 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 125000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158114880).

125000200 is an abundant number, since it is smaller than the sum of its proper divisors (191229560).

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

125000200 is a wasteful number, since it uses less digits than its factorization.

125000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 125000200 is about 11180.3488317673. The cubic root of 125000200 is about 500.0002666665. Note that the first 3 decimals are identical.

Adding to 125000200 its reverse (2000521), we get a palindrome (127000721).

It can be divided in two parts, 125000 and 200, that multiplied together give a square (25000000 = 50002).

The spelling of 125000200 in words is "one hundred twenty-five million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 131 200 260 262 325 367 520 524 650 655 734 1048 1300 1310 1468 1703 1835 2600 2620 2936 3275 3406 3670 4771 5240 6550 6812 7340 8515 9175 9542 13100 13624 14680 17030 18350 19084 23855 26200 34060 36700 38168 42575 47710 48077 68120 73400 85150 95420 96154 119275 170300 190840 192308 238550 240385 340600 384616 477100 480770 625001 954200 961540 1201925 1250002 1923080 2403850 2500004 3125005 4807700 5000008 6250010 9615400 12500020 15625025 25000040 31250050 62500100 125000200