Base | Representation |
---|---|
bin | 1110010011100… |
… | …00111110100100 |
3 | 22100210122122000 |
4 | 13021300332210 |
5 | 221210003140 |
6 | 15524005300 |
7 | 2654662311 |
oct | 711607644 |
9 | 270718560 |
10 | 120000420 |
11 | 61812101 |
12 | 34230830 |
13 | 1bb27187 |
14 | 11d19d08 |
15 | a805a30 |
hex | 7270fa4 |
120000420 has 96 divisors (see below), whose sum is σ = 379559040. Its totient is φ = 31466880.
The previous prime is 120000403. The next prime is 120000449. The reversal of 120000420 is 24000021.
It is a Harshad number since it is a multiple of its sum of digits (9).
120000420 is a modest number, since divided by 420 gives 120 as remainder.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31119 + ... + 34761.
It is an arithmetic number, because the mean of its divisors is an integer number (3953740).
Almost surely, 2120000420 is an apocalyptic number.
120000420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 120000420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189779520).
120000420 is an abundant number, since it is smaller than the sum of its proper divisors (259558620).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
120000420 is a wasteful number, since it uses less digits than its factorization.
120000420 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3722 (or 3714 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 9.
The square root of 120000420 is about 10954.4703203761. The cubic root of 120000420 is about 493.2429903149.
Adding to 120000420 its reverse (24000021), we get a palindrome (144000441).
The spelling of 120000420 in words is "one hundred twenty million, four hundred twenty", and thus it is an aban number.
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