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2014000020 = 2232511188889
BaseRepresentation
bin111100000001011…
…0011001110010100
312012100200210122100
41320002303032110
513111041000040
6531503002100
7100623501114
oct17002631624
95170623570
102014000020
1194393a02a
12482599330
132613397b6
141516a1044
15bbc2ab30
hex780b3394

2014000020 has 36 divisors (see below), whose sum is σ = 6109133940. Its totient is φ = 537066624.

The previous prime is 2014000007. The next prime is 2014000049. The reversal of 2014000020 is 200004102.

It can be written as a sum of positive squares in 2 ways, for example, as 614940804 + 1399059216 = 24798^2 + 37404^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2013999966 and 2014000011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5594265 + ... + 5594624.

It is an arithmetic number, because the mean of its divisors is an integer number (169698165).

Almost surely, 22014000020 is an apocalyptic number.

2014000020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2014000020 is an abundant number, since it is smaller than the sum of its proper divisors (4095133920).

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

2014000020 is a wasteful number, since it uses less digits than its factorization.

2014000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11188904 (or 11188899 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 2014000020 is about 44877.6115674620. The cubic root of 2014000020 is about 1262.8540368403.

Adding to 2014000020 its reverse (200004102), we get a palindrome (2214004122).

The spelling of 2014000020 in words is "two billion, fourteen million, twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 11188889 22377778 33566667 44755556 55944445 67133334 100700001 111888890 134266668 167833335 201400002 223777780 335666670 402800004 503500005 671333340 1007000010 2014000020