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2414410420 = 225120720521
BaseRepresentation
bin1000111111101000…
…1111101010110100
320020021010202110011
42033322033222310
514421042113140
61035325110004
7113555102302
oct21772175264
96207122404
102414410420
111029965314
125746b8304
132c6292b26
1418c931272
15e1e70cea
hex8fe8fab4

2414410420 has 12 divisors (see below), whose sum is σ = 5070261924. Its totient is φ = 965764160.

The previous prime is 2414410409. The next prime is 2414410429. The reversal of 2414410420 is 240144142.

It can be written as a sum of positive squares in 2 ways, for example, as 1799965476 + 614444944 = 42426^2 + 24788^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2414410391 and 2414410400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2414410429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 60360241 + ... + 60360280.

It is an arithmetic number, because the mean of its divisors is an integer number (422521827).

Almost surely, 22414410420 is an apocalyptic number.

2414410420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2414410420 is an abundant number, since it is smaller than the sum of its proper divisors (2655851504).

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

2414410420 is a wasteful number, since it uses less digits than its factorization.

2414410420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120720530 (or 120720528 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 2414410420 is about 49136.6504759940. The cubic root of 2414410420 is about 1341.5402242032.

Adding to 2414410420 its reverse (240144142), we get a palindrome (2654554562).

The spelling of 2414410420 in words is "two billion, four hundred fourteen million, four hundred ten thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 120720521 241441042 482882084 603602605 1207205210 2414410420