Search a number
-
+
17297000 = 235372353
BaseRepresentation
bin100000111111…
…0111001101000
31012112210000122
41001332321220
513412001000
61414422412
7300010400
oct101767150
935483018
1017297000
119844546
125961a08
133778016
142423800
1517ba085
hex107ee68

17297000 has 96 divisors (see below), whose sum is σ = 47216520. Its totient is φ = 5913600.

The previous prime is 17296999. The next prime is 17297003. The reversal of 17297000 is 79271.

It can be written as a sum of positive squares in 4 ways, for example, as 4351396 + 12945604 = 2086^2 + 3598^2 .

It is not an unprimeable number, because it can be changed into a prime (17297003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48824 + ... + 49176.

Almost surely, 217297000 is an apocalyptic number.

17297000 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 17297000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23608260).

17297000 is an abundant number, since it is smaller than the sum of its proper divisors (29919520).

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

17297000 is a wasteful number, since it uses less digits than its factorization.

17297000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 26.

The square root of 17297000 is about 4158.9662177036. The cubic root of 17297000 is about 258.6169160113.

The spelling of 17297000 in words is "seventeen million, two hundred ninety-seven thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 125 140 175 196 200 245 250 280 350 353 392 490 500 700 706 875 980 1000 1225 1400 1412 1750 1765 1960 2450 2471 2824 3500 3530 4900 4942 6125 7000 7060 8825 9800 9884 12250 12355 14120 17297 17650 19768 24500 24710 34594 35300 44125 49000 49420 61775 69188 70600 86485 88250 98840 123550 138376 172970 176500 247100 308875 345940 353000 432425 494200 617750 691880 864850 1235500 1729700 2162125 2471000 3459400 4324250 8648500 17297000