Base | Representation |
---|---|
bin | 100110110111… |
… | …1010110010000 |
3 | 1102100100202200 |
4 | 1031233112100 |
5 | 20204112044 |
6 | 2004443200 |
7 | 335135031 |
oct | 115572620 |
9 | 42310680 |
10 | 20379024 |
11 | 1055a076 |
12 | 69a9500 |
13 | 42b6ac3 |
14 | 29c6a88 |
15 | 1bc8369 |
hex | 136f590 |
20379024 has 60 divisors (see below), whose sum is σ = 57504876. Its totient is φ = 6736896.
The previous prime is 20379019. The next prime is 20379031. The reversal of 20379024 is 42097302.
It can be written as a sum of positive squares in 2 ways, for example, as 16646400 + 3732624 = 4080^2 + 1932^2 .
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 11 ways as a sum of consecutive naturals, for example, 19212 + ... + 20244.
Almost surely, 220379024 is an apocalyptic number.
20379024 is a gapful number since it is divisible by the number (24) 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 20379024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28752438).
20379024 is an abundant number, since it is smaller than the sum of its proper divisors (37125852).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
20379024 is a wasteful number, since it uses less digits than its factorization.
20379024 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1184 (or 1175 counting only the distinct ones).
The product of its (nonzero) digits is 3024, while the sum is 27.
The square root of 20379024 is about 4514.3132368058. The cubic root of 20379024 is about 273.1457580133.
The spelling of 20379024 in words is "twenty million, three hundred seventy-nine thousand, twenty-four".
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