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120032020 = 2256001601
BaseRepresentation
bin1110010011110…
…00101100010100
322100212020222101
413021320230110
5221212011040
615524411444
72655153403
oct711705424
9270766871
10120032020
1161833919
1234246b84
131bb38684
1411d2763a
15a81009a
hex7278b14

120032020 has 12 divisors (see below), whose sum is σ = 252067284. Its totient is φ = 48012800.

The previous prime is 120031997. The next prime is 120032021. The reversal of 120032020 is 20230021.

It can be written as a sum of positive squares in 2 ways, for example, as 60000516 + 60031504 = 7746^2 + 7748^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 120031988 and 120032006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120032021) 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 3 ways as a sum of consecutive naturals, for example, 3000781 + ... + 3000820.

It is an arithmetic number, because the mean of its divisors is an integer number (21005607).

Almost surely, 2120032020 is an apocalyptic number.

120032020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120032020 is an abundant number, since it is smaller than the sum of its proper divisors (132035264).

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

120032020 is a wasteful number, since it uses less digits than its factorization.

120032020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6001610 (or 6001608 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 120032020 is about 10955.9125589793. The cubic root of 120032020 is about 493.2862821371.

Adding to 120032020 its reverse (20230021), we get a palindrome (140262041).

The spelling of 120032020 in words is "one hundred twenty million, thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 6001601 12003202 24006404 30008005 60016010 120032020