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797130 = 232517521
BaseRepresentation
bin11000010100111001010
31111111110100
43002213022
5201002010
625030230
76526665
oct3024712
91444410
10797130
114a4994
12325376
1321ba99
1416a6dc
1510b2c0
hexc29ca

797130 has 48 divisors (see below), whose sum is σ = 2198664. Its totient is φ = 199680.

The previous prime is 797119. The next prime is 797131. The reversal of 797130 is 31797.

It can be written as a sum of positive squares in 4 ways, for example, as 660969 + 136161 = 813^2 + 369^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 797094 and 797103.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 797130.

It is not an unprimeable number, because it can be changed into a prime (797131) by changing a digit.

797130 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1270 + ... + 1790.

2797130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 797130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1099332).

797130 is an abundant number, since it is smaller than the sum of its proper divisors (1401534).

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

797130 is a wasteful number, since it uses less digits than its factorization.

797130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 1323, while the sum is 27.

The square root of 797130 is about 892.8213707120. The cubic root of 797130 is about 92.7206323231.

It can be divided in two parts, 7971 and 30, that added together give a triangular number (8001 = T126).

The spelling of 797130 in words is "seven hundred ninety-seven thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 521 765 1042 1530 1563 2605 3126 4689 5210 7815 8857 9378 15630 17714 23445 26571 44285 46890 53142 79713 88570 132855 159426 265710 398565 797130