Search a number
-
+
10317936 = 243434999
BaseRepresentation
bin100111010111…
…000001110000
3201102012112210
4213113001300
510120133221
61005052120
7153462306
oct47270160
921365483
1010317936
115908022
123557040
1321a34b5
141528276
15d8c276
hex9d7070

10317936 has 40 divisors (see below), whose sum is σ = 27280000. Its totient is φ = 3358656.

The previous prime is 10317919. The next prime is 10317941. The reversal of 10317936 is 63971301.

It is a congruent number.

It is an unprimeable number.

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, 436 + ... + 4563.

It is an arithmetic number, because the mean of its divisors is an integer number (682000).

Almost surely, 210317936 is an apocalyptic number.

10317936 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 10317936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13640000).

10317936 is an abundant number, since it is smaller than the sum of its proper divisors (16962064).

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

10317936 is a wasteful number, since it uses less digits than its factorization.

10317936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5053 (or 5047 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 30.

The square root of 10317936 is about 3212.1544172097. The cubic root of 10317936 is about 217.7029312264.

The spelling of 10317936 in words is "ten million, three hundred seventeen thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 129 172 258 344 516 688 1032 2064 4999 9998 14997 19996 29994 39992 59988 79984 119976 214957 239952 429914 644871 859828 1289742 1719656 2579484 3439312 5158968 10317936