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2013423524 = 227237277637
BaseRepresentation
bin111100000000010…
…0110011110100100
312012022121111211122
41320000212132210
513110414023044
6531442353112
7100615550300
oct17000463644
95168544748
102013423524
11943585992
1248235b798
13261197288
14151590d00
15bbb64dee
hex780267a4

2013423524 has 36 divisors (see below), whose sum is σ = 4209547356. Its totient is φ = 839571264.

The previous prime is 2013423481. The next prime is 2013423527. The reversal of 2013423524 is 4253243102.

It can be written as a sum of positive squares in 2 ways, for example, as 1914062500 + 99361024 = 43750^2 + 9968^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2013423493 and 2013423502.

It is not an unprimeable number, because it can be changed into a prime (2013423527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 131567 + ... + 146070.

It is an arithmetic number, because the mean of its divisors is an integer number (116931871).

Almost surely, 22013423524 is an apocalyptic number.

It is an amenable number.

2013423524 is an abundant number, since it is smaller than the sum of its proper divisors (2196123832).

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

2013423524 is a wasteful number, since it uses less digits than its factorization.

2013423524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277692 (or 277683 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 2013423524 is about 44871.1881277953. The cubic root of 2013423524 is about 1262.7335304236.

Adding to 2013423524 its reverse (4253243102), we get a palindrome (6266666626).

The spelling of 2013423524 in words is "two billion, thirteen million, four hundred twenty-three thousand, five hundred twenty-four".

Divisors: 1 2 4 7 14 28 37 49 74 98 148 196 259 518 1036 1813 3626 7252 277637 555274 1110548 1943459 3886918 7773836 10272569 13604213 20545138 27208426 41090276 54416852 71907983 143815966 287631932 503355881 1006711762 2013423524