Search a number
-
+
10082840 = 235833037
BaseRepresentation
bin100110011101…
…101000011000
3200222021001112
4212131220120
510040122330
61000035452
7151463015
oct46355030
920867045
1010082840
115767429
123462b88
1321204a1
1414a670c
15d42795
hex99da18

10082840 has 32 divisors (see below), whose sum is σ = 22967280. Its totient is φ = 3983232.

The previous prime is 10082837. The next prime is 10082857. The reversal of 10082840 is 4828001.

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 7 ways as a sum of consecutive naturals, for example, 1802 + ... + 4838.

Almost surely, 210082840 is an apocalyptic number.

10082840 is a gapful number since it is divisible by the number (10) 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 10082840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11483640).

10082840 is an abundant number, since it is smaller than the sum of its proper divisors (12884440).

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

10082840 is a wasteful number, since it uses less digits than its factorization.

10082840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3131 (or 3127 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 10082840 is about 3175.3487997384. The cubic root of 10082840 is about 216.0367450062.

The spelling of 10082840 in words is "ten million, eighty-two thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 40 83 166 332 415 664 830 1660 3037 3320 6074 12148 15185 24296 30370 60740 121480 252071 504142 1008284 1260355 2016568 2520710 5041420 10082840