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120090824 = 2372144479
BaseRepresentation
bin1110010100001…
…11000011001000
322100222020122022
413022013003020
5221220401244
615525544012
72655520010
oct712070310
9270866568
10120090824
1161874017
1234275008
131bb59379
1411d40c40
15a8226ee
hex72870c8

120090824 has 16 divisors (see below), whose sum is σ = 257337600. Its totient is φ = 51467472.

The previous prime is 120090809. The next prime is 120090829. The reversal of 120090824 is 428090021.

It is a junction number, because it is equal to n+sod(n) for n = 120090793 and 120090802.

It is not an unprimeable number, because it can be changed into a prime (120090829) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 1072184 + ... + 1072295.

It is an arithmetic number, because the mean of its divisors is an integer number (16083600).

Almost surely, 2120090824 is an apocalyptic number.

120090824 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

120090824 is an abundant number, since it is smaller than the sum of its proper divisors (137246776).

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

120090824 is a wasteful number, since it uses less digits than its factorization.

120090824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2144492 (or 2144488 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 120090824 is about 10958.5958954603. The cubic root of 120090824 is about 493.3668230654.

The spelling of 120090824 in words is "one hundred twenty million, ninety thousand, eight hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 56 2144479 4288958 8577916 15011353 17155832 30022706 60045412 120090824