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10468420 = 2252918049
BaseRepresentation
bin100111111011…
…110001000100
3201200211222021
4213323301010
510134442140
61012212524
7154660114
oct47736104
921624867
1010468420
115a00096
12360a144
132226b41
141567044
15dbbb4a
hex9fbc44

10468420 has 24 divisors (see below), whose sum is σ = 22743000. Its totient is φ = 4042752.

The previous prime is 10468417. The next prime is 10468441. The reversal of 10468420 is 2486401.

It can be written as a sum of positive squares in 4 ways, for example, as 2762244 + 7706176 = 1662^2 + 2776^2 .

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 8445 + ... + 9604.

It is an arithmetic number, because the mean of its divisors is an integer number (947625).

Almost surely, 210468420 is an apocalyptic number.

10468420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10468420 is an abundant number, since it is smaller than the sum of its proper divisors (12274580).

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

10468420 is a wasteful number, since it uses less digits than its factorization.

10468420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18087 (or 18085 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 10468420 is about 3235.4937799353. The cubic root of 10468420 is about 218.7562044499.

The spelling of 10468420 in words is "ten million, four hundred sixty-eight thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 18049 36098 72196 90245 180490 360980 523421 1046842 2093684 2617105 5234210 10468420