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120246930 = 2345532801
BaseRepresentation
bin1110010101011…
…01001010010010
322101021011210000
413022231022102
5221240400210
615533150430
72660040066
oct712551222
9271234700
10120246930
1161970331
123432b416
131bbb243b
1411d81aa6
15a853ac0
hex72ad292

120246930 has 80 divisors (see below), whose sum is σ = 329548824. Its totient is φ = 31449600.

The previous prime is 120246911. The next prime is 120246961. The reversal of 120246930 is 39642021.

It can be written as a sum of positive squares in 4 ways, for example, as 106564329 + 13682601 = 10323^2 + 3699^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 120246894 and 120246903.

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 39 ways as a sum of consecutive naturals, for example, 41530 + ... + 44330.

Almost surely, 2120246930 is an apocalyptic number.

120246930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120246930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164774412).

120246930 is an abundant number, since it is smaller than the sum of its proper divisors (209301894).

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

120246930 is a wasteful number, since it uses less digits than its factorization.

120246930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2873 (or 2864 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 120246930 is about 10965.7161188862. The cubic root of 120246930 is about 493.5805062626.

Adding to 120246930 its reverse (39642021), we get a palindrome (159888951).

The spelling of 120246930 in words is "one hundred twenty million, two hundred forty-six thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 53 54 81 90 106 135 159 162 265 270 318 405 477 530 795 810 954 1431 1590 2385 2801 2862 4293 4770 5602 7155 8403 8586 14005 14310 16806 21465 25209 28010 42015 42930 50418 75627 84030 126045 148453 151254 226881 252090 296906 378135 445359 453762 742265 756270 890718 1134405 1336077 1484530 2226795 2268810 2672154 4008231 4453590 6680385 8016462 12024693 13360770 20041155 24049386 40082310 60123465 120246930