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2141382020 = 225107069101
BaseRepresentation
bin111111110100010…
…1110010110000100
312112020101110220012
41333220232112010
513341143211040
6552253125352
7104031306161
oct17750562604
95466343805
102141382020
119a9833008
124b9189858
1328184976b
1416457d068
15c7edd865
hex7fa2e584

2141382020 has 12 divisors (see below), whose sum is σ = 4496902284. Its totient is φ = 856552800.

The previous prime is 2141382007. The next prime is 2141382029. The reversal of 2141382020 is 202831412.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 532409476 + 1608972544 = 23074^2 + 40112^2 .

It is not an unprimeable number, because it can be changed into a prime (2141382029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 53534531 + ... + 53534570.

It is an arithmetic number, because the mean of its divisors is an integer number (374741857).

Almost surely, 22141382020 is an apocalyptic number.

2141382020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2141382020 is an abundant number, since it is smaller than the sum of its proper divisors (2355520264).

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

2141382020 is a wasteful number, since it uses less digits than its factorization.

2141382020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107069110 (or 107069108 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 2141382020 is about 46275.0690977334. The cubic root of 2141382020 is about 1288.9360897245.

The spelling of 2141382020 in words is "two billion, one hundred forty-one million, three hundred eighty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 107069101 214138202 428276404 535345505 1070691010 2141382020