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2040220 = 2257131959
BaseRepresentation
bin111110010000110011100
310211122122201
413302012130
51010241340
6111421244
723225110
oct7620634
93748581
102040220
111173936
12824824
13565840
143b1740
152a479a
hex1f219c

2040220 has 96 divisors (see below), whose sum is σ = 5644800. Its totient is φ = 601344.

The previous prime is 2040211. The next prime is 2040229. The reversal of 2040220 is 220402.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2040211) and next prime (2040229).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 2040197 and 2040206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2040229) 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 31 ways as a sum of consecutive naturals, for example, 34551 + ... + 34609.

It is an arithmetic number, because the mean of its divisors is an integer number (58800).

22040220 is an apocalyptic number.

2040220 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 2040220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2822400).

2040220 is an abundant number, since it is smaller than the sum of its proper divisors (3604580).

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

2040220 is a wasteful number, since it uses less digits than its factorization.

2040220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 2040220 is about 1428.3626990369. The cubic root of 2040220 is about 126.8310730669.

Adding to 2040220 its reverse (220402), we get a palindrome (2260622).

The spelling of 2040220 in words is "two million, forty thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 19 20 26 28 35 38 52 59 65 70 76 91 95 118 130 133 140 182 190 236 247 260 266 295 364 380 413 455 494 532 590 665 767 826 910 988 1121 1180 1235 1330 1534 1652 1729 1820 2065 2242 2470 2660 3068 3458 3835 4130 4484 4940 5369 5605 6916 7670 7847 8260 8645 10738 11210 14573 15340 15694 17290 21476 22420 26845 29146 31388 34580 39235 53690 58292 72865 78470 102011 107380 145730 156940 204022 291460 408044 510055 1020110 2040220