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2142430728 = 2331941114593
BaseRepresentation
bin111111110110010…
…1110011000001000
312112022100202110020
41333230232120020
513341430240403
6552331420440
7104043234504
oct17754563010
95468322406
102142430728
119aa389a09
124b95b4720
13281b25bb9
14164773304
15c8149453
hex7fb2e608

2142430728 has 64 divisors (see below), whose sum is σ = 5775537600. Its totient is φ = 660049920.

The previous prime is 2142430727. The next prime is 2142430757. The reversal of 2142430728 is 8270342412.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2142430727) 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, 38601 + ... + 75992.

It is an arithmetic number, because the mean of its divisors is an integer number (90242775).

Almost surely, 22142430728 is an apocalyptic number.

It is an amenable number.

2142430728 is an abundant number, since it is smaller than the sum of its proper divisors (3633106872).

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

2142430728 is a wasteful number, since it uses less digits than its factorization.

2142430728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114662 (or 114658 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 2142430728 is about 46286.3989526081. The cubic root of 2142430728 is about 1289.1464674113.

The spelling of 2142430728 in words is "two billion, one hundred forty-two million, four hundred thirty thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 19 24 38 41 57 76 82 114 123 152 164 228 246 328 456 492 779 984 1558 2337 3116 4674 6232 9348 18696 114593 229186 343779 458372 687558 916744 1375116 2177267 2750232 4354534 4698313 6531801 8709068 9396626 13063602 14094939 17418136 18793252 26127204 28189878 37586504 52254408 56379756 89267947 112759512 178535894 267803841 357071788 535607682 714143576 1071215364 2142430728