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250040 = 23571947
BaseRepresentation
bin111101000010111000
3110200222202
4331002320
531000130
65205332
72060660
oct750270
9420882
10250040
1116094a
12100848
1389a6b
14671a0
154e145
hex3d0b8

250040 has 64 divisors (see below), whose sum is σ = 691200. Its totient is φ = 79488.

The previous prime is 250037. The next prime is 250043. The reversal of 250040 is 40052.

250040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (250037) and next prime (250043).

It is a sliding number, since 250040 = 40 + 250000 and 1/40 + 1/250000 = 0.0250040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (250043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5297 + ... + 5343.

It is an arithmetic number, because the mean of its divisors is an integer number (10800).

250040 is a Friedman number, since it can be written as 500^2+40, using all its digits and the basic arithmetic operations.

2250040 is an apocalyptic number.

250040 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 250040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345600).

250040 is an abundant number, since it is smaller than the sum of its proper divisors (441160).

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

250040 is a wasteful number, since it uses less digits than its factorization.

250040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 11.

The square root of 250040 is about 500.0399984001. The cubic root of 250040 is about 62.9994121050. Note that the first 3 decimals are identical.

Subtracting from 250040 its product of nonzero digits (40), we obtain a square (250000 = 5002).

Adding to 250040 its reverse (40052), we get a palindrome (290092).

It can be divided in two parts, 2500 and 40, that multiplied together give a 5-th power (100000 = 105).

The spelling of 250040 in words is "two hundred fifty thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 47 56 70 76 94 95 133 140 152 188 190 235 266 280 329 376 380 470 532 658 665 760 893 940 1064 1316 1330 1645 1786 1880 2632 2660 3290 3572 4465 5320 6251 6580 7144 8930 12502 13160 17860 25004 31255 35720 50008 62510 125020 250040