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126378912 = 25311119677
BaseRepresentation
bin1111000100001…
…10001110100000
322210210201021110
413202012032200
5224323111122
620312423320
73063126432
oct742061640
9283721243
10126378912
1165379390
12363a7b40
132024b52a
1412ada652
15b16590c
hex78863a0

126378912 has 48 divisors (see below), whose sum is σ = 361906272. Its totient is φ = 38296320.

The previous prime is 126378887. The next prime is 126378929. The reversal of 126378912 is 219873621.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58783 + ... + 60894.

It is an arithmetic number, because the mean of its divisors is an integer number (7539714).

Almost surely, 2126378912 is an apocalyptic number.

126378912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

126378912 is an abundant number, since it is smaller than the sum of its proper divisors (235527360).

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

126378912 is a wasteful number, since it uses less digits than its factorization.

126378912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119701 (or 119693 counting only the distinct ones).

The product of its digits is 36288, while the sum is 39.

The square root of 126378912 is about 11241.8375722121. The cubic root of 126378912 is about 501.8318299357.

The spelling of 126378912 in words is "one hundred twenty-six million, three hundred seventy-eight thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 119677 239354 359031 478708 718062 957416 1316447 1436124 1914832 2632894 2872248 3829664 3949341 5265788 5744496 7898682 10531576 11488992 15797364 21063152 31594728 42126304 63189456 126378912