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119450016 = 25327193307
BaseRepresentation
bin1110001111010…
…10100110100000
322022202200121200
413013222212200
5221034400031
615504121200
72650210530
oct707524640
9268680550
10119450016
1161476624
1234006200
131b9937aa
1411c154c0
15a7478e6
hex71ea9a0

119450016 has 144 divisors (see below), whose sum is σ = 391495104. Its totient is φ = 33841152.

The previous prime is 119449999. The next prime is 119450029. The reversal of 119450016 is 610054911.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

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, 388935 + ... + 389241.

It is an arithmetic number, because the mean of its divisors is an integer number (2718716).

Almost surely, 2119450016 is an apocalyptic number.

119450016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 119450016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195747552).

119450016 is an abundant number, since it is smaller than the sum of its proper divisors (272045088).

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

119450016 is a wasteful number, since it uses less digits than its factorization.

119450016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 119450016 is about 10929.3191004746. The cubic root of 119450016 is about 492.4877178347.

The spelling of 119450016 in words is "one hundred nineteen million, four hundred fifty thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 193 224 252 288 307 336 386 504 579 614 672 772 921 1008 1158 1228 1351 1544 1737 1842 2016 2149 2316 2456 2702 2763 3088 3474 3684 4053 4298 4632 4912 5404 5526 6176 6447 6948 7368 8106 8596 9264 9824 10808 11052 12159 12894 13896 14736 16212 17192 18528 19341 21616 22104 24318 25788 27792 29472 32424 34384 38682 43232 44208 48636 51576 55584 59251 64848 68768 77364 88416 97272 103152 118502 129696 154728 177753 194544 206304 237004 309456 355506 389088 414757 474008 533259 618912 711012 829514 948016 1066518 1244271 1422024 1659028 1896032 2133036 2488542 2844048 3318056 3732813 4266072 4977084 5688096 6636112 7465626 8532144 9954168 13272224 14931252 17064288 19908336 29862504 39816672 59725008 119450016