Search a number
-
+
2060820 = 223251072
BaseRepresentation
bin111110111001000010100
310212200220200
413313020110
51011421240
6112100500
723342136
oct7671024
93780820
102060820
111188363
12834730
13572028
143b9056
152aa930
hex1f7214

2060820 has 54 divisors (see below), whose sum is σ = 6310122. Its totient is φ = 544416.

The previous prime is 2060803. The next prime is 2060843. The reversal of 2060820 is 280602.

It can be written as a sum of positive squares in only one way, i.e., 1648656 + 412164 = 1284^2 + 642^2 .

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2060793 and 2060802.

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 17 ways as a sum of consecutive naturals, for example, 19207 + ... + 19313.

22060820 is an apocalyptic number.

2060820 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 2060820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3155061).

2060820 is an abundant number, since it is smaller than the sum of its proper divisors (4249302).

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

2060820 is a wasteful number, since it uses less digits than its factorization.

2060820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2060820 is about 1435.5556415549. Note that the first 3 decimals coincide. The cubic root of 2060820 is about 127.2565133953.

The spelling of 2060820 in words is "two million, sixty thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 107 180 214 321 428 535 642 963 1070 1284 1605 1926 2140 3210 3852 4815 6420 9630 11449 19260 22898 34347 45796 57245 68694 103041 114490 137388 171735 206082 228980 343470 412164 515205 686940 1030410 2060820