Search a number
-
+
256028136 = 233721316747
BaseRepresentation
bin11110100001010…
…10110111101000
3122211202120120120
433100222313220
51011020400021
641223323240
76226126500
oct1720526750
9584676516
10256028136
11121580801
12718b0520
1341073450
1426008a00
15177252c6
hexf42ade8

256028136 has 96 divisors (see below), whose sum is σ = 801894240. Its totient is φ = 67519872.

The previous prime is 256028093. The next prime is 256028159. The reversal of 256028136 is 631820652.

It is a junction number, because it is equal to n+sod(n) for n = 256028097 and 256028106.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6915 + ... + 23661.

It is an arithmetic number, because the mean of its divisors is an integer number (8353065).

Almost surely, 2256028136 is an apocalyptic number.

256028136 is a gapful number since it is divisible by the number (26) 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 256028136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400947120).

256028136 is an abundant number, since it is smaller than the sum of its proper divisors (545866104).

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

256028136 is a wasteful number, since it uses less digits than its factorization.

256028136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16783 (or 16772 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 256028136 is about 16000.8792258426. The cubic root of 256028136 is about 634.9836819747.

Adding to 256028136 its reverse (631820652), we get a palindrome (887848788).

The spelling of 256028136 in words is "two hundred fifty-six million, twenty-eight thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 49 52 56 78 84 91 98 104 147 156 168 182 196 273 294 312 364 392 546 588 637 728 1092 1176 1274 1911 2184 2548 3822 5096 7644 15288 16747 33494 50241 66988 100482 117229 133976 200964 217711 234458 351687 401928 435422 468916 653133 703374 820603 870844 937832 1306266 1406748 1523977 1641206 1741688 2461809 2612532 2813496 3047954 3282412 4571931 4923618 5225064 6095908 6564824 9143862 9847236 10667839 12191816 18287724 19694472 21335678 32003517 36575448 42671356 64007034 85342712 128014068 256028136