Search a number
-
+
1025250120 = 233252847917
BaseRepresentation
bin111101000111000…
…001001101001000
32122110012002202200
4331013001031020
54044431000440
6245422400200
734256324256
oct7507011510
92573162680
101025250120
114867aa654
12247430060
1313453b19b
149a2415d6
156001cc30
hex3d1c1348

1025250120 has 48 divisors (see below), whose sum is σ = 3332064060. Its totient is φ = 273399936.

The previous prime is 1025250103. The next prime is 1025250143. The reversal of 1025250120 is 210525201.

It can be written as a sum of positive squares in 2 ways, for example, as 998686404 + 26563716 = 31602^2 + 5154^2 .

It is a super-2 number, since 2×10252501202 = 2102275617120028800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1025250093 and 1025250102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1423599 + ... + 1424318.

Almost surely, 21025250120 is an apocalyptic number.

1025250120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1025250120 is an abundant number, since it is smaller than the sum of its proper divisors (2306813940).

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

1025250120 is a wasteful number, since it uses less digits than its factorization.

1025250120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2847934 (or 2847927 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 1025250120 is about 32019.5271670273. The cubic root of 1025250120 is about 1008.3468430371.

Adding to 1025250120 its reverse (210525201), we get a palindrome (1235775321).

The spelling of 1025250120 in words is "one billion, twenty-five million, two hundred fifty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 2847917 5695834 8543751 11391668 14239585 17087502 22783336 25631253 28479170 34175004 42718755 51262506 56958340 68350008 85437510 102525012 113916680 128156265 170875020 205050024 256312530 341750040 512625060 1025250120