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297680 = 245612
BaseRepresentation
bin1001000101011010000
3120010100012
41020223100
534011210
610214052
72346605
oct1105320
9503305
10297680
11193719
12124328
13a5656
147a6ac
155d305
hex48ad0

297680 has 30 divisors (see below), whose sum is σ = 703638. Its totient is φ = 117120.

The previous prime is 297659. The next prime is 297683. The reversal of 297680 is 86792.

297680 is nontrivially palindromic in base 9.

It can be written as a sum of positive squares in 3 ways, for example, as 23104 + 274576 = 152^2 + 524^2 .

It is a super-2 number, since 2×2976802 = 177226764800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (297683) by changing a digit.

297680 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4850 + ... + 4910.

297680 is a Friedman number, since it can be written as 80*(7+9*6)^2, using all its digits and the basic arithmetic operations.

2297680 is an apocalyptic number.

297680 is a gapful number since it is divisible by the number (20) 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 297680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351819).

297680 is an abundant number, since it is smaller than the sum of its proper divisors (405958).

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

297680 is an equidigital number, since it uses as much as digits as its factorization.

297680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 297680 is about 545.6005865099. The cubic root of 297680 is about 66.7702833149.

The spelling of 297680 in words is "two hundred ninety-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 244 305 488 610 976 1220 2440 3721 4880 7442 14884 18605 29768 37210 59536 74420 148840 297680