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2401980105 = 35722876001
BaseRepresentation
bin1000111100101011…
…0100111011001001
320012101202020021010
42033022310323021
514404401330410
61034202434133
7113344331310
oct21712647311
96171666233
102401980105
111022945228
12570502949
132c3830005
1418b017277
15e0d17c20
hex8f2b4ec9

2401980105 has 16 divisors (see below), whose sum is σ = 4392192384. Its totient is φ = 1098048000.

The previous prime is 2401980089. The next prime is 2401980107. The reversal of 2401980105 is 5010891042.

It is a happy number.

It is not a de Polignac number, because 2401980105 - 24 = 2401980089 is a prime.

It is a super-3 number, since 3×24019801053 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (2401980107) 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 15 ways as a sum of consecutive naturals, for example, 11437896 + ... + 11438105.

It is an arithmetic number, because the mean of its divisors is an integer number (274512024).

Almost surely, 22401980105 is an apocalyptic number.

It is an amenable number.

2401980105 is a deficient number, since it is larger than the sum of its proper divisors (1990212279).

2401980105 is a wasteful number, since it uses less digits than its factorization.

2401980105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22876016.

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 2401980105 is about 49010.0000510100. Note that the first 4 decimals coincide. The cubic root of 2401980105 is about 1339.2340065959.

The spelling of 2401980105 in words is "two billion, four hundred one million, nine hundred eighty thousand, one hundred five".

Divisors: 1 3 5 7 15 21 35 105 22876001 68628003 114380005 160132007 343140015 480396021 800660035 2401980105