Search a number
-
+
10685304 = 2333737191
BaseRepresentation
bin101000110000…
…101101111000
3202002212111000
4220300231320
510213412204
61021005000
7156552330
oct50605570
922085430
1010685304
116039033
1236b3760
1322a1786
1415c20c0
15e11039
hexa30b78

10685304 has 128 divisors (see below), whose sum is σ = 35020800. Its totient is φ = 2954880.

The previous prime is 10685293. The next prime is 10685327. The reversal of 10685304 is 40358601.

It is a super-2 number, since 2×106853042 = 228351443144832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 55849 + ... + 56039.

It is an arithmetic number, because the mean of its divisors is an integer number (273600).

Almost surely, 210685304 is an apocalyptic number.

10685304 is a gapful number since it is divisible by the number (14) 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 10685304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17510400).

10685304 is an abundant number, since it is smaller than the sum of its proper divisors (24335496).

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

10685304 is a wasteful number, since it uses less digits than its factorization.

10685304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 10685304 is about 3268.8383257665. The cubic root of 10685304 is about 220.2566151599.

The spelling of 10685304 in words is "ten million, six hundred eighty-five thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 37 42 54 56 63 72 74 84 108 111 126 148 168 189 191 216 222 252 259 296 333 378 382 444 504 518 573 666 756 764 777 888 999 1036 1146 1332 1337 1512 1528 1554 1719 1998 2072 2292 2331 2664 2674 3108 3438 3996 4011 4584 4662 5157 5348 6216 6876 6993 7067 7992 8022 9324 10314 10696 12033 13752 13986 14134 16044 18648 20628 21201 24066 27972 28268 32088 36099 41256 42402 48132 49469 55944 56536 63603 72198 84804 96264 98938 127206 144396 148407 169608 190809 197876 254412 288792 296814 381618 395752 445221 508824 593628 763236 890442 1187256 1335663 1526472 1780884 2671326 3561768 5342652 10685304