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120042020 = 22572929567
BaseRepresentation
bin1110010011110…
…11001000100100
322100212202200202
413021323020210
5221212321040
615524530032
72655224510
oct711731044
9270782622
10120042020
116184038a
1234250918
131bb400a7
1411d2b140
15a813015
hex727b224

120042020 has 48 divisors (see below), whose sum is σ = 298045440. Its totient is φ = 39736704.

The previous prime is 120042017. The next prime is 120042079. The reversal of 120042020 is 20240021.

It is a junction number, because it is equal to n+sod(n) for n = 120041992 and 120042010.

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 15 ways as a sum of consecutive naturals, for example, 10724 + ... + 18843.

It is an arithmetic number, because the mean of its divisors is an integer number (6209280).

Almost surely, 2120042020 is an apocalyptic number.

120042020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120042020 is an abundant number, since it is smaller than the sum of its proper divisors (178003420).

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

120042020 is a wasteful number, since it uses less digits than its factorization.

120042020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29612 (or 29610 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 120042020 is about 10956.3689240551. The cubic root of 120042020 is about 493.2999804982.

Adding to 120042020 its reverse (20240021), we get a palindrome (140282041).

The spelling of 120042020 in words is "one hundred twenty million, forty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 116 140 145 203 290 406 580 812 1015 2030 4060 29567 59134 118268 147835 206969 295670 413938 591340 827876 857443 1034845 1714886 2069690 3429772 4139380 4287215 6002101 8574430 12004202 17148860 24008404 30010505 60021010 120042020