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120131824 = 2479101941
BaseRepresentation
bin1110010100100…
…01000011110000
322101001022212211
413022101003300
5221223204244
615530501504
72656050361
oct712210360
9271038784
10120131824
11618a18aa
1234294894
131bb71c27
1411d51b68
15a82e934
hex72910f0

120131824 has 40 divisors (see below), whose sum is σ = 238288320. Its totient is φ = 58656000.

The previous prime is 120131801. The next prime is 120131831. The reversal of 120131824 is 428131021.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 120131795 and 120131804.

It is a congruent number.

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, 127194 + ... + 128134.

It is an arithmetic number, because the mean of its divisors is an integer number (5957208).

Almost surely, 2120131824 is an apocalyptic number.

It is an amenable number.

120131824 is a deficient number, since it is larger than the sum of its proper divisors (118156496).

120131824 is a wasteful number, since it uses less digits than its factorization.

120131824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 120131824 is about 10960.4664134333. The cubic root of 120131824 is about 493.4229631808.

Adding to 120131824 its reverse (428131021), we get a palindrome (548262845).

The spelling of 120131824 in words is "one hundred twenty million, one hundred thirty-one thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 16 79 101 158 202 316 404 632 808 941 1264 1616 1882 3764 7528 7979 15056 15958 31916 63832 74339 95041 127664 148678 190082 297356 380164 594712 760328 1189424 1520656 7508239 15016478 30032956 60065912 120131824