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120312320 = 29546997
BaseRepresentation
bin1110010101111…
…01001000000000
322101101111110212
413022331020000
5221244443240
615534413252
72660431532
oct712751000
9271344425
10120312320
1161a05477
1234361228
131bc0612b
1411d9b852
15a868165
hex72bd200

120312320 has 40 divisors (see below), whose sum is σ = 288473724. Its totient is φ = 48123904.

The previous prime is 120312289. The next prime is 120312359. The reversal of 120312320 is 23213021.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 119421184 + 891136 = 10928^2 + 944^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 120312295 and 120312304.

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 3 ways as a sum of consecutive naturals, for example, 20939 + ... + 26058.

Almost surely, 2120312320 is an apocalyptic number.

120312320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120312320 is an abundant number, since it is smaller than the sum of its proper divisors (168161404).

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

120312320 is an frugal number, since it uses more digits than its factorization.

120312320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47020 (or 47004 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 120312320 is about 10968.6972790756. The cubic root of 120312320 is about 493.6699593590.

Adding to 120312320 its reverse (23213021), we get a palindrome (143525341).

The spelling of 120312320 in words is "one hundred twenty million, three hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 46997 93994 187988 234985 375976 469970 751952 939940 1503904 1879880 3007808 3759760 6015616 7519520 12031232 15039040 24062464 30078080 60156160 120312320