Base | Representation |
---|---|
bin | 100101101101… |
… | …0101011000000 |
3 | 1101012102102000 |
4 | 1023122223000 |
5 | 20030120143 |
6 | 1543424000 |
7 | 330020424 |
oct | 113325300 |
9 | 41172360 |
10 | 19770048 |
11 | 10183591 |
12 | 6755000 |
13 | 413286c |
14 | 28a8b84 |
15 | 1b07bd3 |
hex | 12daac0 |
19770048 has 112 divisors (see below), whose sum is σ = 61630560. Its totient is φ = 6193152.
The previous prime is 19770029. The next prime is 19770061. The reversal of 19770048 is 84007791.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 19769994 and 19770021.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29040 + ... + 29712.
Almost surely, 219770048 is an apocalyptic number.
19770048 is a gapful number since it is divisible by the number (18) 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 19770048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30815280).
19770048 is an abundant number, since it is smaller than the sum of its proper divisors (41860512).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
19770048 is a wasteful number, since it uses less digits than its factorization.
19770048 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 711 (or 695 counting only the distinct ones).
The product of its (nonzero) digits is 14112, while the sum is 36.
The square root of 19770048 is about 4446.3522127695. The cubic root of 19770048 is about 270.3974393745.
The spelling of 19770048 in words is "nineteen million, seven hundred seventy thousand, forty-eight".
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