Search a number
-
+
20842480 = 245614271
BaseRepresentation
bin100111110000…
…0011111110000
31110012220111201
41033200133300
520313424410
62022420544
7342105151
oct117403760
943186451
1020842480
111084629a
126b91754
134419a39
142aa7928
151c6a83a
hex13e07f0

20842480 has 40 divisors (see below), whose sum is σ = 49264704. Its totient is φ = 8198400.

The previous prime is 20842453. The next prime is 20842483. The reversal of 20842480 is 8424802.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20842483) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2745 + ... + 7015.

Almost surely, 220842480 is an apocalyptic number.

20842480 is a gapful number since it is divisible by the number (20) 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 20842480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24632352).

20842480 is an abundant number, since it is smaller than the sum of its proper divisors (28422224).

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

20842480 is a wasteful number, since it uses less digits than its factorization.

20842480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4345 (or 4339 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 20842480 is about 4565.3565030565. The cubic root of 20842480 is about 275.2008670200.

The spelling of 20842480 in words is "twenty million, eight hundred forty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 244 305 488 610 976 1220 2440 4271 4880 8542 17084 21355 34168 42710 68336 85420 170840 260531 341680 521062 1042124 1302655 2084248 2605310 4168496 5210620 10421240 20842480