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130793000 = 23531310061
BaseRepresentation
bin1111100101110…
…11111000101000
3100010002222021012
413302323320220
5231440334000
620551203052
73145502462
oct762737050
9303088235
10130793000
1167913798
1237976488
1321135710
1413529132
15b738735
hex7cbbe28

130793000 has 64 divisors (see below), whose sum is σ = 329631120. Its totient is φ = 48288000.

The previous prime is 130792901. The next prime is 130793009. The reversal of 130793000 is 397031.

It can be written as a sum of positive squares in 8 ways, for example, as 56644 + 130736356 = 238^2 + 11434^2 .

It is not an unprimeable number, because it can be changed into a prime (130793009) 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, 7970 + ... + 18030.

Almost surely, 2130793000 is an apocalyptic number.

130793000 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 130793000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164815560).

130793000 is an abundant number, since it is smaller than the sum of its proper divisors (198838120).

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

130793000 is a wasteful number, since it uses less digits than its factorization.

130793000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10095 (or 10081 counting only the distinct ones).

The product of its (nonzero) digits is 567, while the sum is 23.

The square root of 130793000 is about 11436.4767301822. The cubic root of 130793000 is about 507.6076599474.

The spelling of 130793000 in words is "one hundred thirty million, seven hundred ninety-three thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 650 1000 1300 1625 2600 3250 6500 10061 13000 20122 40244 50305 80488 100610 130793 201220 251525 261586 402440 503050 523172 653965 1006100 1046344 1257625 1307930 2012200 2515250 2615860 3269825 5030500 5231720 6539650 10061000 13079300 16349125 26158600 32698250 65396500 130793000