[go: up one dir, main page]

Search a number
-
+
20442860 = 22519232339
BaseRepresentation
bin100110111111…
…0111011101100
31102110121022222
41031332323230
520213132420
62010054512
7335522114
oct115767354
942417288
1020442860
11105a3029
126a1a438
134309b89
142a02044
151bdc225
hex137eeec

20442860 has 48 divisors (see below), whose sum is σ = 47174400. Its totient is φ = 7406784.

The previous prime is 20442853. The next prime is 20442871. The reversal of 20442860 is 6824402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7571 + ... + 9909.

It is an arithmetic number, because the mean of its divisors is an integer number (982800).

Almost surely, 220442860 is an apocalyptic number.

20442860 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 20442860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23587200).

20442860 is an abundant number, since it is smaller than the sum of its proper divisors (26731540).

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

20442860 is a wasteful number, since it uses less digits than its factorization.

20442860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2390 (or 2388 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 20442860 is about 4521.3781084975. The cubic root of 20442860 is about 273.4306646563.

The spelling of 20442860 in words is "twenty million, four hundred forty-two thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 19 20 23 38 46 76 92 95 115 190 230 380 437 460 874 1748 2185 2339 4370 4678 8740 9356 11695 23390 44441 46780 53797 88882 107594 177764 215188 222205 268985 444410 537970 888820 1022143 1075940 2044286 4088572 5110715 10221430 20442860