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3097120 = 255131489
BaseRepresentation
bin1011110100001000100000
312211100110011
423310020200
51243101440
6150214304
735216335
oct13641040
95740404
103097120
111825a04
121054394
13845920
145a898c
154129ea
hex2f4220

3097120 has 48 divisors (see below), whose sum is σ = 7885080. Its totient is φ = 1142784.

The previous prime is 3097103. The next prime is 3097121. The reversal of 3097120 is 217903.

It can be written as a sum of positive squares in 4 ways, for example, as 1468944 + 1628176 = 1212^2 + 1276^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3097091 and 3097100.

It is not an unprimeable number, because it can be changed into a prime (3097121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1336 + ... + 2824.

Almost surely, 23097120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3097120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3942540).

3097120 is an abundant number, since it is smaller than the sum of its proper divisors (4787960).

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

3097120 is a wasteful number, since it uses less digits than its factorization.

3097120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1517 (or 1509 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 22.

The square root of 3097120 is about 1759.8636310805. The cubic root of 3097120 is about 145.7648055359.

The spelling of 3097120 in words is "three million, ninety-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 1489 2080 2978 5956 7445 11912 14890 19357 23824 29780 38714 47648 59560 77428 96785 119120 154856 193570 238240 309712 387140 619424 774280 1548560 3097120