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130125800 = 23527412267
BaseRepresentation
bin1111100000110…
…00111111101000
3100001212002001002
413300120333220
5231303011200
620525014132
73140023340
oct760307750
9301762032
10130125800
11674a8492
12376b4348
1320c60b1c
14133d3d20
15b655bd5
hex7c18fe8

130125800 has 96 divisors (see below), whose sum is σ = 354352320. Its totient is φ = 43507200.

The previous prime is 130125797. The next prime is 130125829. The reversal of 130125800 is 8521031.

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

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, 56267 + ... + 58533.

It is an arithmetic number, because the mean of its divisors is an integer number (3691170).

Almost surely, 2130125800 is an apocalyptic number.

130125800 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 130125800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177176160).

130125800 is an abundant number, since it is smaller than the sum of its proper divisors (224226520).

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

130125800 is a wasteful number, since it uses less digits than its factorization.

130125800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2331 (or 2322 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 130125800 is about 11407.2696119624. The cubic root of 130125800 is about 506.7430536569.

Adding to 130125800 its reverse (8521031), we get a palindrome (138646831).

The spelling of 130125800 in words is "one hundred thirty million, one hundred twenty-five thousand, eight hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 41 50 56 70 82 100 140 164 175 200 205 280 287 328 350 410 574 700 820 1025 1148 1400 1435 1640 2050 2267 2296 2870 4100 4534 5740 7175 8200 9068 11335 11480 14350 15869 18136 22670 28700 31738 45340 56675 57400 63476 79345 90680 92947 113350 126952 158690 185894 226700 317380 371788 396725 453400 464735 634760 650629 743576 793450 929470 1301258 1586900 1858940 2323675 2602516 3173800 3253145 3717880 4647350 5205032 6506290 9294700 13012580 16265725 18589400 26025160 32531450 65062900 130125800