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120216020 = 22529207269
BaseRepresentation
bin1110010101001…
…01100111010100
322101012121101012
413022211213110
5221233403040
615532351352
72656551011
oct712454724
9271177335
10120216020
116194a091
1234315558
131bba1352
1411d74708
15a849865
hex72a59d4

120216020 has 24 divisors (see below), whose sum is σ = 261160200. Its totient is φ = 46428032.

The previous prime is 120216017. The next prime is 120216029. The reversal of 120216020 is 20612021.

It can be written as a sum of positive squares in 4 ways, for example, as 6724 + 120209296 = 82^2 + 10964^2 .

It is a junction number, because it is equal to n+sod(n) for n = 120215986 and 120216004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120216029) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103055 + ... + 104214.

It is an arithmetic number, because the mean of its divisors is an integer number (10881675).

Almost surely, 2120216020 is an apocalyptic number.

120216020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120216020 is an abundant number, since it is smaller than the sum of its proper divisors (140944180).

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

120216020 is a wasteful number, since it uses less digits than its factorization.

120216020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207307 (or 207305 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 120216020 is about 10964.3066356245. The cubic root of 120216020 is about 493.5382102946.

Adding to 120216020 its reverse (20612021), we get a palindrome (140828041).

The spelling of 120216020 in words is "one hundred twenty million, two hundred sixteen thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 207269 414538 829076 1036345 2072690 4145380 6010801 12021602 24043204 30054005 60108010 120216020