Search a number
-
+
10828530 = 2325791523
BaseRepresentation
bin101001010011…
…101011110010
3202101010221200
4221103223302
510233003110
61024032030
7161020026
oct51235362
922333850
1010828530
1161266a9
123762616
132321a1b
14161c386
15e3d6c0
hexa53af2

10828530 has 48 divisors (see below), whose sum is σ = 28529280. Its totient is φ = 2849184.

The previous prime is 10828529. The next prime is 10828547. The reversal of 10828530 is 3582801.

It is a happy number.

10828530 is a `hidden beast` number, since 108 + 28 + 530 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10828494 and 10828503.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6349 + ... + 7871.

It is an arithmetic number, because the mean of its divisors is an integer number (594360).

Almost surely, 210828530 is an apocalyptic number.

10828530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10828530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14264640).

10828530 is an abundant number, since it is smaller than the sum of its proper divisors (17700750).

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

10828530 is a wasteful number, since it uses less digits than its factorization.

10828530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1615 (or 1612 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 10828530 is about 3290.6731834079. The cubic root of 10828530 is about 221.2363584427.

The spelling of 10828530 in words is "ten million, eight hundred twenty-eight thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 79 90 158 237 395 474 711 790 1185 1422 1523 2370 3046 3555 4569 7110 7615 9138 13707 15230 22845 27414 45690 68535 120317 137070 240634 360951 601585 721902 1082853 1203170 1804755 2165706 3609510 5414265 10828530