Search a number
-
+
250657540 = 2257361599
BaseRepresentation
bin11101111000010…
…11101100000100
3122110122201111121
432330023230010
51003132020130
640512243324
76132361000
oct1674135404
9573581447
10250657540
111195427a1
126bb40544
133cc12a93
142540b700
1517013d7a
hexef0bb04

250657540 has 96 divisors (see below), whose sum is σ = 624960000. Its totient is φ = 84389760.

The previous prime is 250657507. The next prime is 250657541. The reversal of 250657540 is 45756052.

250657540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 250657496 and 250657505.

It is not an unprimeable number, because it can be changed into a prime (250657541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 418161 + ... + 418759.

It is an arithmetic number, because the mean of its divisors is an integer number (6510000).

Almost surely, 2250657540 is an apocalyptic number.

250657540 is a gapful number since it is divisible by the number (20) 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 250657540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312480000).

250657540 is an abundant number, since it is smaller than the sum of its proper divisors (374302460).

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

250657540 is a wasteful number, since it uses less digits than its factorization.

250657540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 34.

The square root of 250657540 is about 15832.1678869320. The cubic root of 250657540 is about 630.5123404336.

The spelling of 250657540 in words is "two hundred fifty million, six hundred fifty-seven thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 61 70 98 122 140 196 244 245 305 343 427 490 599 610 686 854 980 1198 1220 1372 1708 1715 2135 2396 2989 2995 3430 4193 4270 5978 5990 6860 8386 8540 11956 11980 14945 16772 20923 20965 29351 29890 36539 41846 41930 58702 59780 73078 83692 83860 104615 117404 146156 146755 182695 205457 209230 255773 293510 365390 410914 418460 511546 587020 730780 821828 1023092 1027285 1278865 1790411 2054570 2557730 3580822 4109140 5115460 7161644 8952055 12532877 17904110 25065754 35808220 50131508 62664385 125328770 250657540