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10317216 = 2537131181
BaseRepresentation
bin100111010110…
…110110100000
3201102011120010
4213112312200
510120122331
61005044520
7153460230
oct47266640
921364503
1010317216
115907528
123556740
1321a3080
141527cc0
15d8be46
hex9d6da0

10317216 has 96 divisors (see below), whose sum is σ = 33360768. Its totient is φ = 2718720.

The previous prime is 10317193. The next prime is 10317253. The reversal of 10317216 is 61271301.

10317216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 10317192 and 10317201.

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, 8146 + ... + 9326.

It is an arithmetic number, because the mean of its divisors is an integer number (347508).

Almost surely, 210317216 is an apocalyptic number.

10317216 is a gapful number since it is divisible by the number (16) 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 10317216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16680384).

10317216 is an abundant number, since it is smaller than the sum of its proper divisors (23043552).

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

10317216 is a wasteful number, since it uses less digits than its factorization.

10317216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1214 (or 1206 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 10317216 is about 3212.0423409414. The cubic root of 10317216 is about 217.6978672370.

Adding to 10317216 its reverse (61271301), we get a palindrome (71588517).

The spelling of 10317216 in words is "ten million, three hundred seventeen thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 78 84 91 96 104 112 156 168 182 208 224 273 312 336 364 416 546 624 672 728 1092 1181 1248 1456 2184 2362 2912 3543 4368 4724 7086 8267 8736 9448 14172 15353 16534 18896 24801 28344 30706 33068 37792 46059 49602 56688 61412 66136 92118 99204 107471 113376 122824 132272 184236 198408 214942 245648 264544 322413 368472 396816 429884 491296 644826 736944 793632 859768 1289652 1473888 1719536 2579304 3439072 5158608 10317216