Search a number
-
+
2830020 = 2235101467
BaseRepresentation
bin1010110010111011000100
312022210001120
422302323010
51211030040
6140353540
733024534
oct12627304
95283046
102830020
111663266
12b458b0
1378118b
145394c4
153ad7d0
hex2b2ec4

2830020 has 48 divisors (see below), whose sum is σ = 8019648. Its totient is φ = 745600.

The previous prime is 2829977. The next prime is 2830027. The reversal of 2830020 is 200382.

2830020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2830027) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5827 + ... + 6293.

It is an arithmetic number, because the mean of its divisors is an integer number (167076).

22830020 is an apocalyptic number.

2830020 is a gapful number since it is divisible by the number (20) 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 2830020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4009824).

2830020 is an abundant number, since it is smaller than the sum of its proper divisors (5189628).

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

2830020 is a wasteful number, since it uses less digits than its factorization.

2830020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2830020 is about 1682.2663284986. The cubic root of 2830020 is about 141.4478991761.

The spelling of 2830020 in words is "two million, eight hundred thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 101 202 303 404 467 505 606 934 1010 1212 1401 1515 1868 2020 2335 2802 3030 4670 5604 6060 7005 9340 14010 28020 47167 94334 141501 188668 235835 283002 471670 566004 707505 943340 1415010 2830020