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316080 = 24325439
BaseRepresentation
bin1001101001010110000
3121001120200
41031022300
540103310
610435200
72454342
oct1151260
9531520
10316080
111a6526
12132b00
13b0b3b
1483292
15639c0
hex4d2b0

316080 has 60 divisors (see below), whose sum is σ = 1063920. Its totient is φ = 84096.

The previous prime is 316073. The next prime is 316087. The reversal of 316080 is 80613.

It is an interprime number because it is at equal distance from previous prime (316073) and next prime (316087).

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (316087) by changing a digit.

316080 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 11 ways as a sum of consecutive naturals, for example, 501 + ... + 939.

It is an arithmetic number, because the mean of its divisors is an integer number (17732).

2316080 is an apocalyptic number.

316080 is a gapful number since it is divisible by the number (30) 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 316080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531960).

316080 is an abundant number, since it is smaller than the sum of its proper divisors (747840).

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

316080 is a wasteful number, since it uses less digits than its factorization.

316080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 316080 is about 562.2099252059. The cubic root of 316080 is about 68.1185935114.

Adding to 316080 its reverse (80613), we get a palindrome (396693).

It can be divided in two parts, 3160 and 80, that added together give a triangular number (3240 = T80).

The spelling of 316080 in words is "three hundred sixteen thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 439 720 878 1317 1756 2195 2634 3512 3951 4390 5268 6585 7024 7902 8780 10536 13170 15804 17560 19755 21072 26340 31608 35120 39510 52680 63216 79020 105360 158040 316080