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10420323424 = 257346113441
BaseRepresentation
bin10011011010001100…
…11000010001100000
3222220012200021110121
421231012120101200
5132320100322144
64441555410024
7516140200450
oct115506302140
928805607417
1010420323424
114468001245
1220298b3914
13ca0ac6464
1470bcd7d60
1540ec38384
hex26d198460

10420323424 has 48 divisors (see below), whose sum is σ = 23454246816. Its totient is φ = 4464230400.

The previous prime is 10420323401. The next prime is 10420323427. The reversal of 10420323424 is 42432302401.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10420323427) 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 7 ways as a sum of consecutive naturals, for example, 768544 + ... + 781984.

It is an arithmetic number, because the mean of its divisors is an integer number (488630142).

Almost surely, 210420323424 is an apocalyptic number.

10420323424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10420323424 is an abundant number, since it is smaller than the sum of its proper divisors (13033923392).

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

10420323424 is a wasteful number, since it uses less digits than its factorization.

10420323424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16919 (or 16911 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 10420323424 its reverse (42432302401), we get a palindrome (52852625825).

The spelling of 10420323424 in words is "ten billion, four hundred twenty million, three hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 3461 6922 13441 13844 24227 26882 27688 48454 53764 55376 94087 96908 107528 110752 188174 193816 215056 376348 387632 430112 752696 775264 1505392 3010784 46519301 93038602 186077204 325635107 372154408 651270214 744308816 1302540428 1488617632 2605080856 5210161712 10420323424