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2145046660 = 225564119013
BaseRepresentation
bin111111111011010…
…1101000010000100
312112111021122211121
41333312231002010
513343112443120
6552503443324
7104104411231
oct17766550204
95474248747
102145046660
11a00906339
124ba456544
132825307a3
14164c54788
15c84b45aa
hex7fdad084

2145046660 has 24 divisors (see below), whose sum is σ = 4505633496. Its totient is φ = 857821440.

The previous prime is 2145046613. The next prime is 2145046661. The reversal of 2145046660 is 666405412.

It can be written as a sum of positive squares in 4 ways, for example, as 156600196 + 1988446464 = 12514^2 + 44592^2 .

It is not an unprimeable number, because it can be changed into a prime (2145046661) 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 7 ways as a sum of consecutive naturals, for example, 103314 + ... + 122326.

It is an arithmetic number, because the mean of its divisors is an integer number (187734729).

Almost surely, 22145046660 is an apocalyptic number.

2145046660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2145046660 is an abundant number, since it is smaller than the sum of its proper divisors (2360586836).

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

2145046660 is a wasteful number, since it uses less digits than its factorization.

2145046660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24663 (or 24661 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 2145046660 is about 46314.6484386959. The cubic root of 2145046660 is about 1289.6709414486.

The spelling of 2145046660 in words is "two billion, one hundred forty-five million, forty-six thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 5641 11282 19013 22564 28205 38026 56410 76052 95065 112820 190130 380260 107252333 214504666 429009332 536261665 1072523330 2145046660