Search a number
-
+
20278830 = 235111329163
BaseRepresentation
bin100110101011…
…0111000101110
31102011021022210
41031112320232
520142410310
62002351250
7334236645
oct115267056
942137283
1020278830
11104a0870
12695b526
134280310
14299c35c
151ba8820
hex1356e2e

20278830 has 128 divisors (see below), whose sum is σ = 59512320. Its totient is φ = 4354560.

The previous prime is 20278799. The next prime is 20278837. The reversal of 20278830 is 3887202.

It is a super-2 number, since 2×202788302 = 822461892337800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20278837) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 124329 + ... + 124491.

It is an arithmetic number, because the mean of its divisors is an integer number (464940).

Almost surely, 220278830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20278830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29756160).

20278830 is an abundant number, since it is smaller than the sum of its proper divisors (39233490).

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

20278830 is a wasteful number, since it uses less digits than its factorization.

20278830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226.

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 20278830 is about 4503.2021939948. The cubic root of 20278830 is about 272.6973796529.

The spelling of 20278830 in words is "twenty million, two hundred seventy-eight thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 10 11 13 15 22 26 29 30 33 39 55 58 65 66 78 87 110 130 143 145 163 165 174 195 286 290 319 326 330 377 390 429 435 489 638 715 754 815 858 870 957 978 1131 1430 1595 1630 1793 1885 1914 2119 2145 2262 2445 3190 3586 3770 4147 4238 4290 4727 4785 4890 5379 5655 6357 8294 8965 9454 9570 10595 10758 11310 12441 12714 14181 17930 20735 21190 23309 23635 24882 26895 28362 31785 41470 46618 47270 51997 53790 61451 62205 63570 69927 70905 103994 116545 122902 124410 139854 141810 155991 184353 233090 259985 307255 311982 349635 368706 519970 614510 675961 699270 779955 921765 1351922 1559910 1843530 2027883 3379805 4055766 6759610 10139415 20278830