Search a number
-
+
256781620 = 22519765173
BaseRepresentation
bin11110100111000…
…10110100110100
3122220011212011101
433103202310310
51011214002440
641251415444
76235415314
oct1723426464
9586155141
10256781620
11121a45917
1271bb4584
13412783b4
1426163444
151782369a
hexf4e2d34

256781620 has 24 divisors (see below), whose sum is σ = 541986984. Its totient is φ = 102189696.

The previous prime is 256781597. The next prime is 256781621. The reversal of 256781620 is 26187652.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 17522596 + 239259024 = 4186^2 + 15468^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 256781620.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256781621) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28647 + ... + 36526.

It is an arithmetic number, because the mean of its divisors is an integer number (22582791).

Almost surely, 2256781620 is an apocalyptic number.

256781620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256781620 is an abundant number, since it is smaller than the sum of its proper divisors (285205364).

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

256781620 is a wasteful number, since it uses less digits than its factorization.

256781620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65379 (or 65377 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 256781620 is about 16024.4070093093. The cubic root of 256781620 is about 635.6059852662.

The spelling of 256781620 in words is "two hundred fifty-six million, seven hundred eighty-one thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 197 394 788 985 1970 3940 65173 130346 260692 325865 651730 1303460 12839081 25678162 51356324 64195405 128390810 256781620