Search a number
-
+
316516080 = 24355472411
BaseRepresentation
bin10010110111011…
…010011011110000
3211001120200102210
4102313122123300
51122012003310
651224012120
710562225256
oct2267323360
9731520383
10316516080
11152735241
128a001040
135076152a
14300725d6
151cbc2820
hex12dda6f0

316516080 has 80 divisors (see below), whose sum is σ = 983401344. Its totient is φ = 84215040.

The previous prime is 316516073. The next prime is 316516091. The reversal of 316516080 is 80615613.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130075 + ... + 132485.

Almost surely, 2316516080 is an apocalyptic number.

316516080 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 316516080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491700672).

316516080 is an abundant number, since it is smaller than the sum of its proper divisors (666885264).

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

316516080 is a wasteful number, since it uses less digits than its factorization.

316516080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2974 (or 2968 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 316516080 is about 17790.8987968568. The cubic root of 316516080 is about 681.4990573806.

The spelling of 316516080 in words is "three hundred sixteen million, five hundred sixteen thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 547 1094 1641 2188 2411 2735 3282 4376 4822 5470 6564 7233 8205 8752 9644 10940 12055 13128 14466 16410 19288 21880 24110 26256 28932 32820 36165 38576 43760 48220 57864 65640 72330 96440 115728 131280 144660 192880 289320 578640 1318817 2637634 3956451 5275268 6594085 7912902 10550536 13188170 15825804 19782255 21101072 26376340 31651608 39564510 52752680 63303216 79129020 105505360 158258040 316516080