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10220420 = 2257210429
BaseRepresentation
bin100110111111…
…001110000100
3201020020210002
4212333032010
510104023140
61003020432
7152605100
oct46771604
921206702
1010220420
115850831
12350a718
13216acb2
141500900
15d6d415
hex9bf384

10220420 has 36 divisors (see below), whose sum is σ = 24969420. Its totient is φ = 3503808.

The previous prime is 10220411. The next prime is 10220429. The reversal of 10220420 is 2402201.

It is an interprime number because it is at equal distance from previous prime (10220411) and next prime (10220429).

It can be written as a sum of positive squares in 2 ways, for example, as 7761796 + 2458624 = 2786^2 + 1568^2 .

It is not an unprimeable number, because it can be changed into a prime (10220429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4235 + ... + 6194.

It is an arithmetic number, because the mean of its divisors is an integer number (693595).

Almost surely, 210220420 is an apocalyptic number.

10220420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10220420 is an abundant number, since it is smaller than the sum of its proper divisors (14749000).

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

10220420 is a wasteful number, since it uses less digits than its factorization.

10220420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10452 (or 10443 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 10220420 is about 3196.9391611352. The cubic root of 10220420 is about 217.0149139940.

Adding to 10220420 its reverse (2402201), we get a palindrome (12622621).

The spelling of 10220420 in words is "ten million, two hundred twenty thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 10429 20858 41716 52145 73003 104290 146006 208580 292012 365015 511021 730030 1022042 1460060 2044084 2555105 5110210 10220420