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10419520 = 26532561
BaseRepresentation
bin100111101111…
…110101000000
3201121100220011
4213233311000
510131411040
61011154304
7154364416
oct47576500
921540804
1010419520
115977381
1235a5994
13220a7c7
1415532b6
15dac3ea
hex9efd40

10419520 has 28 divisors (see below), whose sum is σ = 24812244. Its totient is φ = 4167680.

The previous prime is 10419517. The next prime is 10419523. The reversal of 10419520 is 2591401.

It is an interprime number because it is at equal distance from previous prime (10419517) and next prime (10419523).

It can be written as a sum of positive squares in 2 ways, for example, as 5992704 + 4426816 = 2448^2 + 2104^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10419491 and 10419500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10419523) 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, 15961 + ... + 16600.

Almost surely, 210419520 is an apocalyptic number.

10419520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10419520 is an abundant number, since it is smaller than the sum of its proper divisors (14392724).

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

10419520 is an equidigital number, since it uses as much as digits as its factorization.

10419520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32578 (or 32568 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 10419520 is about 3227.9281280722. The cubic root of 10419520 is about 218.4150552937.

The spelling of 10419520 in words is "ten million, four hundred nineteen thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 32561 65122 130244 162805 260488 325610 520976 651220 1041952 1302440 2083904 2604880 5209760 10419520