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316105216 = 29789991
BaseRepresentation
bin10010110101110…
…110001000000000
3211000210210211121
4102311312020000
51121410331331
651211122024
710555564360
oct2265661000
9730723747
10316105216
11152484589
1289a43314
135064950b
142dda69a0
151cb40c11
hex12d76200

316105216 has 80 divisors (see below), whose sum is σ = 730667520. Its totient is φ = 133816320.

The previous prime is 316105211. The next prime is 316105253. The reversal of 316105216 is 612501613.

It is not an unprimeable number, because it can be changed into a prime (316105211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 318481 + ... + 319471.

It is an arithmetic number, because the mean of its divisors is an integer number (9133344).

Almost surely, 2316105216 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 316105216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365333760).

316105216 is an abundant number, since it is smaller than the sum of its proper divisors (414562304).

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

316105216 is an frugal number, since it uses more digits than its factorization.

316105216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 316105216 is about 17779.3480195422. The cubic root of 316105216 is about 681.2040490175.

Adding to 316105216 its reverse (612501613), we get a palindrome (928606829).

The spelling of 316105216 in words is "three hundred sixteen million, one hundred five thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 89 112 128 178 224 256 356 448 512 623 712 896 991 1246 1424 1792 1982 2492 2848 3584 3964 4984 5696 6937 7928 9968 11392 13874 15856 19936 22784 27748 31712 39872 45568 55496 63424 79744 88199 110992 126848 159488 176398 221984 253696 318976 352796 443968 507392 617393 705592 887936 1234786 1411184 1775872 2469572 2822368 3551744 4939144 5644736 9878288 11289472 19756576 22578944 39513152 45157888 79026304 158052608 316105216