Search a number
-
+
10679808 = 29317409
BaseRepresentation
bin101000101111…
…011000000000
3202002120221110
4220233120000
510213223213
61020523320
7156530316
oct50573000
922076843
1010679808
116034997
1236b0540
13229c119
1415c00b6
15e0e5c3
hexa2f600

10679808 has 80 divisors (see below), whose sum is σ = 30198960. Its totient is φ = 3342336.

The previous prime is 10679807. The next prime is 10679813. The reversal of 10679808 is 80897601.

It is a super-2 number, since 2×106798082 = 228116597833728, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10679807) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25908 + ... + 26316.

It is an arithmetic number, because the mean of its divisors is an integer number (377487).

Almost surely, 210679808 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 10679808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15099480).

10679808 is an abundant number, since it is smaller than the sum of its proper divisors (19519152).

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

10679808 is an equidigital number, since it uses as much as digits as its factorization.

10679808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The square root of 10679808 is about 3267.9975520187. The cubic root of 10679808 is about 220.2188455915.

The spelling of 10679808 in words is "ten million, six hundred seventy-nine thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 409 512 544 768 816 818 1088 1227 1536 1632 1636 2176 2454 3264 3272 4352 4908 6528 6544 6953 8704 9816 13056 13088 13906 19632 20859 26112 26176 27812 39264 41718 52352 55624 78528 83436 104704 111248 157056 166872 209408 222496 314112 333744 444992 628224 667488 889984 1334976 1779968 2669952 3559936 5339904 10679808