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10306164 = 22311163479
BaseRepresentation
bin100111010100…
…001001110100
3201101121101210
4213110021310
510114244124
61004521420
7153413061
oct47241164
921347353
1010306164
1158aa1a0
123550270
13219b02b
141523c68
15d88a29
hex9d4274

10306164 has 48 divisors (see below), whose sum is σ = 26449920. Its totient is φ = 3097440.

The previous prime is 10306157. The next prime is 10306183. The reversal of 10306164 is 46160301.

It is a self number, because there is not a number n which added to its sum of digits gives 10306164.

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 15 ways as a sum of consecutive naturals, for example, 21277 + ... + 21755.

It is an arithmetic number, because the mean of its divisors is an integer number (551040).

Almost surely, 210306164 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 10306164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13224960).

10306164 is an abundant number, since it is smaller than the sum of its proper divisors (16143756).

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

10306164 is a wasteful number, since it uses less digits than its factorization.

10306164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 10306164 is about 3210.3214792291. The cubic root of 10306164 is about 217.6201054177.

Adding to 10306164 its reverse (46160301), we get a palindrome (56466465).

The spelling of 10306164 in words is "ten million, three hundred six thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 163 326 479 489 652 958 978 1437 1793 1916 1956 2874 3586 5269 5379 5748 7172 10538 10758 15807 21076 21516 31614 63228 78077 156154 234231 312308 468462 858847 936924 1717694 2576541 3435388 5153082 10306164