[go: up one dir, main page]

Search a number
-
+
10308816 = 243372487
BaseRepresentation
bin100111010100…
…110011010000
3201101202001000
4213110303100
510114340231
61004542000
7153423600
oct47246320
921352030
1010308816
115901191
123551900
13219c2bb
141524c00
15d896e6
hex9d4cd0

10308816 has 120 divisors (see below), whose sum is σ = 34491840. Its totient is φ = 2939328.

The previous prime is 10308803. The next prime is 10308847. The reversal of 10308816 is 61880301.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10308816.

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 23 ways as a sum of consecutive naturals, for example, 20925 + ... + 21411.

It is an arithmetic number, because the mean of its divisors is an integer number (287432).

Almost surely, 210308816 is an apocalyptic number.

10308816 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 10308816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17245920).

10308816 is an abundant number, since it is smaller than the sum of its proper divisors (24183024).

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

10308816 is a wasteful number, since it uses less digits than its factorization.

10308816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 10308816 is about 3210.7344954076. The cubic root of 10308816 is about 217.6387699446.

The spelling of 10308816 in words is "ten million, three hundred eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 84 98 108 112 126 144 147 168 189 196 216 252 294 336 378 392 432 441 487 504 588 756 784 882 974 1008 1176 1323 1461 1512 1764 1948 2352 2646 2922 3024 3409 3528 3896 4383 5292 5844 6818 7056 7792 8766 10227 10584 11688 13149 13636 17532 20454 21168 23376 23863 26298 27272 30681 35064 40908 47726 52596 54544 61362 70128 71589 81816 92043 95452 105192 122724 143178 163632 184086 190904 210384 214767 245448 286356 368172 381808 429534 490896 572712 644301 736344 859068 1145424 1288602 1472688 1718136 2577204 3436272 5154408 10308816