Search a number
-
+
20259424 = 253771241
BaseRepresentation
bin100110101001…
…0001001100000
31102010021201001
41031102021200
520141300144
62002121344
7334126243
oct115221140
942107631
1020259424
1110488229
126950254
134274533
14299525a
151ba2bd4
hex1352260

20259424 has 48 divisors (see below), whose sum is σ = 41713056. Its totient is φ = 9676800.

The previous prime is 20259419. The next prime is 20259457. The reversal of 20259424 is 42495202.

It is a junction number, because it is equal to n+sod(n) for n = 20259392 and 20259401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83944 + ... + 84184.

It is an arithmetic number, because the mean of its divisors is an integer number (869022).

Almost surely, 220259424 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 20259424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20856528).

20259424 is an abundant number, since it is smaller than the sum of its proper divisors (21453632).

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

20259424 is a wasteful number, since it uses less digits than its factorization.

20259424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 20259424 is about 4501.0469893126. The cubic root of 20259424 is about 272.6103651931.

It can be divided in two parts, 2025 and 9424, that added together give a square (11449 = 1072).

The spelling of 20259424 in words is "twenty million, two hundred fifty-nine thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 37 71 74 142 148 241 284 296 482 568 592 964 1136 1184 1928 2272 2627 3856 5254 7712 8917 10508 17111 17834 21016 34222 35668 42032 68444 71336 84064 136888 142672 273776 285344 547552 633107 1266214 2532428 5064856 10129712 20259424