Search a number
-
+
20885040 = 2434511293
BaseRepresentation
bin100111110101…
…0111000110000
31110022001220000
41033222320300
520321310130
62023350000
7342343221
oct117527060
943261800
1020885040
1110875270
126bb2300
134433217
142ab9248
151c78260
hex13eae30

20885040 has 200 divisors, whose sum is σ = 79401168. Its totient is φ = 5045760.

The previous prime is 20885003. The next prime is 20885069. The reversal of 20885040 is 4058802.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 20884995 and 20885013.

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 39 ways as a sum of consecutive naturals, for example, 71134 + ... + 71426.

Almost surely, 220885040 is an apocalyptic number.

20885040 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 20885040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39700584).

20885040 is an abundant number, since it is smaller than the sum of its proper divisors (58516128).

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

20885040 is a wasteful number, since it uses less digits than its factorization.

20885040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 20885040 is about 4570.0153172610. The cubic root of 20885040 is about 275.3880582060.

The spelling of 20885040 in words is "twenty million, eight hundred eighty-five thousand, forty".