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10317312 = 29322239
BaseRepresentation
bin100111010110…
…111000000000
3201102011200200
4213112320000
510120123222
61005045200
7153460425
oct47267000
921364620
1010317312
115907605
123556800
1321a3125
141527d4c
15d8beac
hex9d6e00

10317312 has 60 divisors (see below), whose sum is σ = 29789760. Its totient is φ = 3437568.

The previous prime is 10317289. The next prime is 10317313. The reversal of 10317312 is 21371301.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10317313) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3489 + ... + 5727.

It is an arithmetic number, because the mean of its divisors is an integer number (496496).

Almost surely, 210317312 is an apocalyptic number.

10317312 is a gapful number since it is divisible by the number (12) 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 10317312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14894880).

10317312 is an abundant number, since it is smaller than the sum of its proper divisors (19472448).

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

10317312 is an equidigital number, since it uses as much as digits as its factorization.

10317312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2263 (or 2244 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 10317312 is about 3212.0572846697. The cubic root of 10317312 is about 217.6985424492.

Adding to 10317312 its reverse (21371301), we get a palindrome (31688613).

The spelling of 10317312 in words is "ten million, three hundred seventeen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2239 2304 4478 4608 6717 8956 13434 17912 20151 26868 35824 40302 53736 71648 80604 107472 143296 161208 214944 286592 322416 429888 573184 644832 859776 1146368 1289664 1719552 2579328 3439104 5158656 10317312