Search a number
-
+
250000120 = 23531375449
BaseRepresentation
bin11101110011010…
…11001011111000
3122102102022200201
432321223023320
51003000000440
640450211544
76123652216
oct1671531370
9572368621
10250000120
11119133877
126b883bb4
133ca42786
14252b9cb6
1516e3419a
hexee6b2f8

250000120 has 64 divisors (see below), whose sum is σ = 596448000. Its totient is φ = 94141440.

The previous prime is 250000117. The next prime is 250000123. The reversal of 250000120 is 21000052.

It is an interprime number because it is at equal distance from previous prime (250000117) and next prime (250000123).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 250000097 and 250000106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (250000123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43156 + ... + 48604.

It is an arithmetic number, because the mean of its divisors is an integer number (9319500).

Almost surely, 2250000120 is an apocalyptic number.

250000120 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 250000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298224000).

250000120 is an abundant number, since it is smaller than the sum of its proper divisors (346447880).

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

250000120 is a wasteful number, since it uses less digits than its factorization.

250000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5528 (or 5524 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 250000120 is about 15811.3920955746. The cubic root of 250000120 is about 629.9606257411.

Adding to 250000120 its reverse (21000052), we get a palindrome (271000172).

The spelling of 250000120 in words is "two hundred fifty million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 31 37 40 62 74 124 148 155 185 248 296 310 370 620 740 1147 1240 1480 2294 4588 5449 5735 9176 10898 11470 21796 22940 27245 43592 45880 54490 108980 168919 201613 217960 337838 403226 675676 806452 844595 1008065 1351352 1612904 1689190 2016130 3378380 4032260 6250003 6756760 8064520 12500006 25000012 31250015 50000024 62500030 125000060 250000120