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120143016 = 233271271877
BaseRepresentation
bin1110010100100…
…11110010101000
322101001220020100
413022103302220
5221224034031
615531025400
72656125120
oct712236250
9271056210
10120143016
11618aa254
123429b260
131bb77056
1411d55c80
15a832de6
hex7293ca8

120143016 has 96 divisors (see below), whose sum is σ = 374999040. Its totient is φ = 34038144.

The previous prime is 120143003. The next prime is 120143017. The reversal of 120143016 is 610341021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 120143016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120143017) 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 23 ways as a sum of consecutive naturals, for example, 63070 + ... + 64946.

It is an arithmetic number, because the mean of its divisors is an integer number (3906240).

Almost surely, 2120143016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120143016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187499520).

120143016 is an abundant number, since it is smaller than the sum of its proper divisors (254856024).

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

120143016 is a wasteful number, since it uses less digits than its factorization.

120143016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2023 (or 2016 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 120143016 is about 10960.9769637565. The cubic root of 120143016 is about 493.4382858437.

Adding to 120143016 its reverse (610341021), we get a palindrome (730484037).

The spelling of 120143016 in words is "one hundred twenty million, one hundred forty-three thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 127 168 252 254 381 504 508 762 889 1016 1143 1524 1778 1877 2286 2667 3048 3556 3754 4572 5334 5631 7112 7508 8001 9144 10668 11262 13139 15016 16002 16893 21336 22524 26278 32004 33786 39417 45048 52556 64008 67572 78834 105112 118251 135144 157668 236502 238379 315336 473004 476758 715137 946008 953516 1430274 1668653 1907032 2145411 2860548 3337306 4290822 5005959 5721096 6674612 8581644 10011918 13349224 15017877 17163288 20023836 30035754 40047672 60071508 120143016