Base | Representation |
---|---|
bin | 100111100001… |
… | …0011000110000 |
3 | 1102222122100000 |
4 | 1033002120300 |
5 | 20301003102 |
6 | 2020030000 |
7 | 341052456 |
oct | 117023060 |
9 | 42878300 |
10 | 20719152 |
11 | 10771673 |
12 | 6b32300 |
13 | 43a586c |
14 | 2a749d6 |
15 | 1c4401c |
hex | 13c2630 |
20719152 has 90 divisors (see below), whose sum is σ = 60967452. Its totient is φ = 6811776.
The previous prime is 20719121. The next prime is 20719157. The reversal of 20719152 is 25191702.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is not an unprimeable number, because it can be changed into a prime (20719157) by changing a digit.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 283788 + ... + 283860.
Almost surely, 220719152 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 20719152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30483726).
20719152 is an abundant number, since it is smaller than the sum of its proper divisors (40248300).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
20719152 is an frugal number, since it uses more digits than its factorization.
20719152 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 169 (or 78 counting only the distinct ones).
The product of its (nonzero) digits is 1260, while the sum is 27.
The square root of 20719152 is about 4551.8295222910. The cubic root of 20719152 is about 274.6569916262.
Multiplying 20719152 by its sum of digits (27), we get a square (559417104 = 236522).
20719152 divided by its sum of digits (27) gives a square (767376 = 8762).
The spelling of 20719152 in words is "twenty million, seven hundred nineteen thousand, one hundred fifty-two".
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