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2410000420 = 225120500021
BaseRepresentation
bin1000111110100101…
…1011000000100100
320012221211201001211
42033221123000210
514413430003140
61035050401204
7113502444202
oct21751330044
96187751054
102410000420
111027422a93
12573130204
132c53aa769
1418c104072
15e189e2ea
hex8fa5b024

2410000420 has 12 divisors (see below), whose sum is σ = 5061000924. Its totient is φ = 964000160.

The previous prime is 2410000409. The next prime is 2410000423. The reversal of 2410000420 is 240000142.

It can be written as a sum of positive squares in 2 ways, for example, as 1178411584 + 1231588836 = 34328^2 + 35094^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2410000420.

It is not an unprimeable number, because it can be changed into a prime (2410000423) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 60249991 + ... + 60250030.

It is an arithmetic number, because the mean of its divisors is an integer number (421750077).

Almost surely, 22410000420 is an apocalyptic number.

2410000420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2410000420 is an abundant number, since it is smaller than the sum of its proper divisors (2651000504).

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

2410000420 is a wasteful number, since it uses less digits than its factorization.

2410000420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120500030 (or 120500028 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 2410000420 is about 49091.7551122386. The cubic root of 2410000420 is about 1340.7229372941.

Adding to 2410000420 its reverse (240000142), we get a palindrome (2650000562).

The spelling of 2410000420 in words is "two billion, four hundred ten million, four hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 120500021 241000042 482000084 602500105 1205000210 2410000420