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130573000 = 2353373529
BaseRepresentation
bin1111100100001…
…10001011001000
3100002200210111001
413302012023020
5231411314000
620542344344
73143565205
oct762061310
9302623431
10130573000
1167783478
123788b0b4
132108953c
14134accac
15b6e346a
hex7c862c8

130573000 has 64 divisors (see below), whose sum is σ = 313887600. Its totient is φ = 50803200.

The previous prime is 130572989. The next prime is 130573007. The reversal of 130573000 is 375031.

It can be written as a sum of positive squares in 8 ways, for example, as 3740356 + 126832644 = 1934^2 + 11262^2 .

It is not an unprimeable number, because it can be changed into a prime (130573007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35236 + ... + 38764.

Almost surely, 2130573000 is an apocalyptic number.

130573000 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 130573000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156943800).

130573000 is an abundant number, since it is smaller than the sum of its proper divisors (183314600).

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

130573000 is a wasteful number, since it uses less digits than its factorization.

130573000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3587 (or 3573 counting only the distinct ones).

The product of its (nonzero) digits is 315, while the sum is 19.

The square root of 130573000 is about 11426.8543352928. The cubic root of 130573000 is about 507.3228935424.

It can be divided in two parts, 1305 and 73000, that added together give a triangular number (74305 = T385).

The spelling of 130573000 in words is "one hundred thirty million, five hundred seventy-three thousand".

Divisors: 1 2 4 5 8 10 20 25 37 40 50 74 100 125 148 185 200 250 296 370 500 740 925 1000 1480 1850 3529 3700 4625 7058 7400 9250 14116 17645 18500 28232 35290 37000 70580 88225 130573 141160 176450 261146 352900 441125 522292 652865 705800 882250 1044584 1305730 1764500 2611460 3264325 3529000 5222920 6528650 13057300 16321625 26114600 32643250 65286500 130573000