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10202420 = 225510121
BaseRepresentation
bin100110111010…
…110100110100
3201012100002102
4212322310310
510102434140
61002401232
7152501444
oct46726464
921170072
1010202420
115839258
123500218
132162a47
1414d8124
15d67e15
hex9bad34

10202420 has 12 divisors (see below), whose sum is σ = 21425124. Its totient is φ = 4080960.

The previous prime is 10202419. The next prime is 10202429. The reversal of 10202420 is 2420201.

It can be written as a sum of positive squares in 2 ways, for example, as 3587236 + 6615184 = 1894^2 + 2572^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10202429) 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 3 ways as a sum of consecutive naturals, for example, 255041 + ... + 255080.

It is an arithmetic number, because the mean of its divisors is an integer number (1785427).

Almost surely, 210202420 is an apocalyptic number.

10202420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10202420 is an abundant number, since it is smaller than the sum of its proper divisors (11222704).

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

10202420 is a wasteful number, since it uses less digits than its factorization.

10202420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510130 (or 510128 counting only the distinct ones).

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

The square root of 10202420 is about 3194.1227277611. The cubic root of 10202420 is about 216.8874383485.

Adding to 10202420 its reverse (2420201), we get a palindrome (12622621).

The spelling of 10202420 in words is "ten million, two hundred two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 510121 1020242 2040484 2550605 5101210 10202420