Search a number
-
+
9830420 = 2251729997
BaseRepresentation
bin100101100000…
…000000010100
3200111102210122
4211200000110
510004033140
6550411112
7146362055
oct45400024
920442718
109830420
115604816
123360a98
132062622
14143c72c
15ce2ab5
hex960014

9830420 has 48 divisors (see below), whose sum is σ = 22634640. Its totient is φ = 3569664.

The previous prime is 9830413. The next prime is 9830459. The reversal of 9830420 is 240389.

It can be written as a sum of positive squares in 8 ways, for example, as 806404 + 9024016 = 898^2 + 3004^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 9830420.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9362 + ... + 10358.

It is an arithmetic number, because the mean of its divisors is an integer number (471555).

Almost surely, 29830420 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 9830420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11317320).

9830420 is an abundant number, since it is smaller than the sum of its proper divisors (12804220).

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

9830420 is a wasteful number, since it uses less digits than its factorization.

9830420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 9830420 is about 3135.3500602006. The cubic root of 9830420 is about 214.2186893024.

The spelling of 9830420 in words is "nine million, eight hundred thirty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 29 34 58 68 85 116 145 170 290 340 493 580 986 997 1972 1994 2465 3988 4930 4985 9860 9970 16949 19940 28913 33898 57826 67796 84745 115652 144565 169490 289130 338980 491521 578260 983042 1966084 2457605 4915210 9830420