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130625300 = 225213891129
BaseRepresentation
bin1111100100100…
…10111100010100
3100002210110020002
413302102330110
5231420002200
620543430432
73144203531
oct762227424
9302713202
10130625300
11678097a3
12378b5418
13210a72a0
14134c3d88
15b703bd5
hex7c92f14

130625300 has 72 divisors (see below), whose sum is σ = 308964600. Its totient is φ = 47646720.

The previous prime is 130625293. The next prime is 130625311. The reversal of 130625300 is 3526031.

It can be written as a sum of positive squares in 12 ways, for example, as 107910544 + 22714756 = 10388^2 + 4766^2 .

It is a super-3 number, since 3×1306253003 (a number of 25 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115136 + ... + 116264.

It is an arithmetic number, because the mean of its divisors is an integer number (4291175).

Almost surely, 2130625300 is an apocalyptic number.

130625300 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 130625300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154482300).

130625300 is an abundant number, since it is smaller than the sum of its proper divisors (178339300).

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

130625300 is a wasteful number, since it uses less digits than its factorization.

130625300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1245 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 130625300 is about 11429.1425750141. The cubic root of 130625300 is about 507.3906192478.

The spelling of 130625300 in words is "one hundred thirty million, six hundred twenty-five thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 89 100 130 178 260 325 356 445 650 890 1129 1157 1300 1780 2225 2258 2314 4450 4516 4628 5645 5785 8900 11290 11570 14677 22580 23140 28225 28925 29354 56450 57850 58708 73385 100481 112900 115700 146770 200962 293540 366925 401924 502405 733850 1004810 1306253 1467700 2009620 2512025 2612506 5024050 5225012 6531265 10048100 13062530 26125060 32656325 65312650 130625300