Search a number
-
+
250390116 = 22354161103
BaseRepresentation
bin11101110110010…
…10011001100100
3122110011010200000
432323022121210
51003044440431
640502421300
76130165224
oct1673123144
9573133600
10250390116
1111937a889
126ba31830
133cb4b142
142537c084
1516eae9e6
hexeeca664

250390116 has 144 divisors (see below), whose sum is σ = 690039168. Its totient is φ = 79315200.

The previous prime is 250390111. The next prime is 250390117. The reversal of 250390116 is 611093052.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 250390116.

It is not an unprimeable number, because it can be changed into a prime (250390111) 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, 2430921 + ... + 2431023.

Almost surely, 2250390116 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 250390116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345019584).

250390116 is an abundant number, since it is smaller than the sum of its proper divisors (439649052).

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

250390116 is a wasteful number, since it uses less digits than its factorization.

250390116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 250390116 is about 15823.7200430240. The cubic root of 250390116 is about 630.2880315592.

The spelling of 250390116 in words is "two hundred fifty million, three hundred ninety thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 61 81 82 103 108 122 123 162 164 183 206 243 244 246 309 324 366 369 412 486 492 549 618 732 738 927 972 1098 1107 1236 1476 1647 1854 2196 2214 2501 2781 3294 3321 3708 4223 4428 4941 5002 5562 6283 6588 6642 7503 8343 8446 9882 9963 10004 11124 12566 12669 13284 14823 15006 16686 16892 18849 19764 19926 22509 25029 25132 25338 29646 30012 33372 37698 38007 39852 45018 50058 50676 56547 59292 67527 75396 76014 90036 100116 113094 114021 135054 152028 169641 202581 226188 228042 257603 270108 339282 342063 405162 456084 508923 515206 607743 678564 684126 772809 810324 1017846 1026189 1030412 1215486 1368252 1526769 1545618 2035692 2052378 2318427 2430972 3053538 3091236 4104756 4636854 6107076 6955281 9273708 13910562 20865843 27821124 41731686 62597529 83463372 125195058 250390116