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120016020 = 22354148787
BaseRepresentation
bin1110010011101…
…00110010010100
322100211110000210
413021310302110
5221211003040
615524205420
72655055635
oct711646224
9270743023
10120016020
11618228a3
1234239870
131bb312c7
1411d2188c
15a80a480
hex7274c94

120016020 has 48 divisors (see below), whose sum is σ = 344248128. Its totient is φ = 31223040.

The previous prime is 120016019. The next prime is 120016021. The reversal of 120016020 is 20610021.

It is an interprime number because it is at equal distance from previous prime (120016019) and next prime (120016021).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 120015987 and 120016005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120016021) by changing a digit.

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, 21934 + ... + 26853.

It is an arithmetic number, because the mean of its divisors is an integer number (7171836).

Almost surely, 2120016020 is an apocalyptic number.

120016020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120016020 is an abundant number, since it is smaller than the sum of its proper divisors (224232108).

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

120016020 is a wasteful number, since it uses less digits than its factorization.

120016020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48840 (or 48838 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 120016020 is about 10955.1823353151. The cubic root of 120016020 is about 493.2643631769.

Adding to 120016020 its reverse (20610021), we get a palindrome (140626041).

The spelling of 120016020 in words is "one hundred twenty million, sixteen thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 492 615 820 1230 2460 48787 97574 146361 195148 243935 292722 487870 585444 731805 975740 1463610 2000267 2927220 4000534 6000801 8001068 10001335 12001602 20002670 24003204 30004005 40005340 60008010 120016020