Search a number
-
+
245136654 = 23273197647
BaseRepresentation
bin11101001110001…
…11110100001110
3122002021020021100
432213013310032
51000223333104
640154043530
76034425060
oct1647076416
9562236240
10245136654
11116411884
126a1195a6
133ba2bb99
14247b1730
15167c3139
hexe9c7d0e

245136654 has 96 divisors (see below), whose sum is σ = 634023936. Its totient is φ = 66977280.

The previous prime is 245136653. The next prime is 245136673. The reversal of 245136654 is 456631542.

245136654 is a `hidden beast` number, since 245 + 1 + 366 + 54 = 666.

It is a super-4 number, since 4×2451366544 (a number of 35 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245136653) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 378559 + ... + 379205.

It is an arithmetic number, because the mean of its divisors is an integer number (6604416).

Almost surely, 2245136654 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245136654, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317011968).

245136654 is an abundant number, since it is smaller than the sum of its proper divisors (388887282).

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

245136654 is a wasteful number, since it uses less digits than its factorization.

245136654 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 787 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 245136654 is about 15656.8404858707. The cubic root of 245136654 is about 625.8487915096.

The spelling of 245136654 in words is "two hundred forty-five million, one hundred thirty-six thousand, six hundred fifty-four".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 62 63 93 97 126 186 194 217 279 291 434 558 582 647 651 679 873 1294 1302 1358 1746 1941 1953 2037 3007 3882 3906 4074 4529 5823 6014 6111 9021 9058 11646 12222 13587 18042 20057 21049 27063 27174 40114 40761 42098 54126 60171 62759 63147 81522 120342 125518 126294 140399 180513 188277 189441 280798 361026 376554 378882 421197 439313 564831 842394 878626 1129662 1263591 1317939 1945529 2527182 2635878 3891058 3953817 5836587 7907634 11673174 13618703 17509761 27237406 35019522 40856109 81712218 122568327 245136654