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2014135400 = 235210070677
BaseRepresentation
bin111100000001101…
…0100010001101000
312012100221200100102
41320003110101220
513111104313100
6531505524532
7100624603604
oct17003242150
95170850312
102014135400
11943a21812
12482643748
132613862c4
141516d8504
15bbc55cd5
hex780d4468

2014135400 has 24 divisors (see below), whose sum is σ = 4682865270. Its totient is φ = 805654080.

The previous prime is 2014135339. The next prime is 2014135411. The reversal of 2014135400 is 45314102.

It can be written as a sum of positive squares in 3 ways, for example, as 1365006916 + 649128484 = 36946^2 + 25478^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5035139 + ... + 5035538.

Almost surely, 22014135400 is an apocalyptic number.

2014135400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2014135400 is an abundant number, since it is smaller than the sum of its proper divisors (2668729870).

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

2014135400 is a wasteful number, since it uses less digits than its factorization.

2014135400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10070693 (or 10070684 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 2014135400 is about 44879.1198665927. The cubic root of 2014135400 is about 1262.8823323298.

Adding to 2014135400 its reverse (45314102), we get a palindrome (2059449502).

The spelling of 2014135400 in words is "two billion, fourteen million, one hundred thirty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 10070677 20141354 40282708 50353385 80565416 100706770 201413540 251766925 402827080 503533850 1007067700 2014135400