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2013340680 = 2332513538117
BaseRepresentation
bin111100000000001…
…0010010000001000
312012022110022012100
41320000102100020
513110403400210
6531440513400
7100615053621
oct17000222010
95168408170
102013340680
1194352971a
1248231b860
13261168660
1415156ca48
15bbb4a5c0
hex78012408

2013340680 has 192 divisors, whose sum is σ = 7180533360. Its totient is φ = 486180864.

The previous prime is 2013340669. The next prime is 2013340699. The reversal of 2013340680 is 860433102.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1176627204 + 836713476 = 34302^2 + 28926^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 243982 + ... + 252098.

Almost surely, 22013340680 is an apocalyptic number.

2013340680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2013340680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3590266680).

2013340680 is an abundant number, since it is smaller than the sum of its proper divisors (5167192680).

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

2013340680 is a wasteful number, since it uses less digits than its factorization.

2013340680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8200 (or 8193 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2013340680 is about 44870.2649869599. The cubic root of 2013340680 is about 1262.7162114426.

Adding to 2013340680 its reverse (860433102), we get a palindrome (2873773782).

The spelling of 2013340680 in words is "two billion, thirteen million, three hundred forty thousand, six hundred eighty".