Search a number
-
+
10830912 = 263192969
BaseRepresentation
bin101001010100…
…010001000000
3202101021012220
4221110101000
510233042122
61024051040
7161030001
oct51242100
922337186
1010830912
116128474
123763a80
132322b31
14161d1a8
15e3e25c
hexa54440

10830912 has 56 divisors (see below), whose sum is σ = 30175200. Its totient is φ = 3419136.

The previous prime is 10830889. The next prime is 10830913. The reversal of 10830912 is 21903801.

It is a super-3 number, since 3×108309123 (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (10830913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2164 + ... + 5132.

Almost surely, 210830912 is an apocalyptic number.

10830912 is a gapful number since it is divisible by the number (12) 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 10830912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15087600).

10830912 is an abundant number, since it is smaller than the sum of its proper divisors (19344288).

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

10830912 is a wasteful number, since it uses less digits than its factorization.

10830912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3003 (or 2993 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 10830912 is about 3291.0350955285. The cubic root of 10830912 is about 221.2525793692.

The spelling of 10830912 in words is "ten million, eight hundred thirty thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 304 456 608 912 1216 1824 2969 3648 5938 8907 11876 17814 23752 35628 47504 56411 71256 95008 112822 142512 169233 190016 225644 285024 338466 451288 570048 676932 902576 1353864 1805152 2707728 3610304 5415456 10830912